Pith Number

pith:XYOCYZKL

pith:2004:XYOCYZKLB26WMITPNUVZ4CE3ZR

not attested not anchored not stored refs resolved

HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

A. J. Banday, B. D. Wandelt, E. Hivon, F. K. Hansen, K. M. Gorski, M. Bartelman, M. Reinecke

HEALPix supplies a hierarchical equal-area pixel grid on the sphere that permits direct fast computation on very large astronomical maps.

arxiv:astro-ph/0409513 v1 · 2004-09-21 · astro-ph

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\usepackage{pith}
\pithnumber{XYOCYZKLB26WMITPNUVZ4CE3ZR}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

HEALPix is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific applications executable directly on very large volumes of astronomical data and large area surveys in the form of discretized spherical maps.

C2weakest assumption

The geometric and hierarchical properties chosen for the pixelization will continue to satisfy the requirements for efficient discretization and fast analysis/synthesis as data volumes grow, without unforeseen scaling limitations in the algorithms.

C3one line summary

HEALPix is a hierarchical equal-area iso-latitude pixelization data structure and software library for fast discretization and analysis of spherical astronomical data.

References

12 extracted · 12 resolved · 2 Pith anchors

[1] Baumgardner, J. R. & Frederickson, P. O. 1985, SIAM J. Numeri cal Analysis, 22, 1107 1985

[2] Benoit, A., et al, A&A 2003, 399, L23-L30 2003

[3] Benoit, A., et al, A&A, 2003, 399, L19-L23 2003

[4] Crittenden, R. & Turok, N. G. 1998, astro-ph/9806374 – 13 – de Bernardis, P. et al., 2000, Nature 404, 955 1998

[5] et al., 2003, astro-ph/0305537 2003 · arXiv:astro-ph/0305537

Formal links

2 machine-checked theorem links

Cited by

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Receipt and verification

First computed	2026-07-04T17:47:02.625548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1c2c654b0ebd66226f6d2b9e089bcc681d1d6fa29f7903119160e5747e611f

Aliases

arxiv: astro-ph/0409513 · arxiv_version: astro-ph/0409513v1 · doi: 10.48550/arxiv.astro-ph/0409513 · pith_short_12: XYOCYZKLB26W · pith_short_16: XYOCYZKLB26WMITP · pith_short_8: XYOCYZKL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XYOCYZKLB26WMITPNUVZ4CE3ZR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: be1c2c654b0ebd66226f6d2b9e089bcc681d1d6fa29f7903119160e5747e611f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104002d36c8546d18b3aad20ca0dc22bcb0487d7242fcc900eec100a3a3d5e69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-09-21T18:00:00Z",
    "title_canon_sha256": "c848b75d4eda584f7df7dee8988beb9d397f21c1362d5511182c8a8894013e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0409513",
    "kind": "arxiv",
    "version": 1
  }
}