Pith Number

pith:2AO3WAAE

pith:2003:2AO3WAAEVUXLHZURNXFEVX7FEV

not attested not anchored not stored refs pending

An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)

Hjalmar Rosengren

arxiv:math/0312310 v1 · 2003-12-16 · math.CA · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AO3WAAEVUXLHZURNXFEVX7FEV}

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	2026-07-04T14:49:35.411159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01dbb0004ad2eb3e6916dca4adfe5257321684015df118fd5aec4d51af40e6d

Aliases

arxiv: math/0312310 · arxiv_version: math/0312310v1 · doi: 10.48550/arxiv.math/0312310 · pith_short_12: 2AO3WAAEVUXL · pith_short_16: 2AO3WAAEVUXLHZUR · pith_short_8: 2AO3WAAE

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/2AO3WAAEVUXLHZURNXFEVX7FEV \
  | 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: d01dbb0004ad2eb3e6916dca4adfe5257321684015df118fd5aec4d51af40e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6acb59f5bffd876a218ef1b515d806dd2a8997e81d5f98d70e2dfb0b8a4e428",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-12-16T17:05:34Z",
    "title_canon_sha256": "405488828cce13d0303094a1185e32d2d90d2fe475b482220b7aa3414ba1479b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312310",
    "kind": "arxiv",
    "version": 1
  }
}