Pith Number

pith:6N7BW4FH

pith:2000:6N7BW4FH66SQCYNAXLOLCXVYVO

not attested not anchored not stored refs pending

Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues

Alan F. Heavens (IfA, Edinburgh), Licia Verde (IfA, Sabino Matarrese (Padova & MPA)

arxiv:astro-ph/0002240 v2 · 2000-02-11 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6N7BW4FH66SQCYNAXLOLCXVYVO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T01:40:48.326527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37e1b70a7f7a50161a0badcb15eb8ab96b52d14e57782ab969b710ef932cac9

Aliases

arxiv: astro-ph/0002240 · arxiv_version: astro-ph/0002240v2 · doi: 10.48550/arxiv.astro-ph/0002240 · pith_short_12: 6N7BW4FH66SQ · pith_short_16: 6N7BW4FH66SQCYNA · pith_short_8: 6N7BW4FH

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/6N7BW4FH66SQCYNAXLOLCXVYVO \
  | 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: f37e1b70a7f7a50161a0badcb15eb8ab96b52d14e57782ab969b710ef932cac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80edaab77a684135a641b3dab119fd7a8ca98eef8222592de136c598c44ef91",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-11T11:13:12Z",
    "title_canon_sha256": "edbff32c4859fc44c08ecbce8077bdbb519e487663720255cfd85a2e44ea4bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002240",
    "kind": "arxiv",
    "version": 2
  }
}