Pith Number

pith:3LBGRI7D

pith:2020:3LBGRI7DICEVKMS5VNGP27ODCG

not attested not anchored not stored refs pending

Reciprocity of the Wigner derivative for spherical tetrahedra

Bruce Bartlett, V. Hosana Ranaivomanana

arxiv:2012.10609 v1 · 2020-12-19 · math.QA · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LBGRI7DICEVKMS5VNGP27ODCG}

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	2026-07-05T02:00:53.715111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac268a3e3408955325dab4cfd7dc3118cf4828c1ad7697305ddfb6b127eab87

Aliases

arxiv: 2012.10609 · arxiv_version: 2012.10609v1 · doi: 10.48550/arxiv.2012.10609 · pith_short_12: 3LBGRI7DICEV · pith_short_16: 3LBGRI7DICEVKMS5 · pith_short_8: 3LBGRI7D

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/3LBGRI7DICEVKMS5VNGP27ODCG \
  | 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: dac268a3e3408955325dab4cfd7dc3118cf4828c1ad7697305ddfb6b127eab87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b056e096867cb8e083b8e199cf1e0a20b0eceeca7f439c23baf695a4e69c66c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2020-12-19T06:58:35Z",
    "title_canon_sha256": "4c2195bef01c21d1ff44f656ba370bbda96be9f38ae3c1073f4d69b67032adbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10609",
    "kind": "arxiv",
    "version": 1
  }
}