Pith Number

pith:4DTRZDHV

pith:2013:4DTRZDHVHCZXH4AAIT6YCEAHDF

not attested not anchored not stored refs pending

Computation of hyperspherical Bessel functions

Thomas Tram

arxiv:1311.0839 v2 · 2013-11-04 · astro-ph.IM · astro-ph.CO · physics.comp-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{4DTRZDHVHCZXH4AAIT6YCEAHDF}

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.

Cited by

1 paper in Pith

Area Scaling of Dynamical Degrees of Freedom in Regularised Scalar Field Theory

Receipt and verification

First computed	2026-05-18T00:41:46.853521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e71c8cf538b373f00044fd8110071973302c5f832d56f8401f995ac23c79ec

Aliases

arxiv: 1311.0839 · arxiv_version: 1311.0839v2 · doi: 10.48550/arxiv.1311.0839 · pith_short_12: 4DTRZDHVHCZX · pith_short_16: 4DTRZDHVHCZXH4AA · pith_short_8: 4DTRZDHV

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/4DTRZDHVHCZXH4AAIT6YCEAHDF \
  | 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: e0e71c8cf538b373f00044fd8110071973302c5f832d56f8401f995ac23c79ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0736c1ffee918b120498edf1c9afdd12ca3dd08cfc58c246cd8bb2071634f6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2013-11-04T20:36:32Z",
    "title_canon_sha256": "23bf921dae77d96b7685475192181a65bcdb786b9b32ac0a6e9ed68004b6e99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0839",
    "kind": "arxiv",
    "version": 2
  }
}