Pith Number

pith:PFJFA6AG

pith:2014:PFJFA6AG4J32EJKA4D6KCY75DJ

not attested not anchored not stored refs pending

The gauge action, DG Lie algebra and identities for Bernoulli numbers

Aniceto Murillo, J.G. Carrasquel-Vera, Urtzi Buijs

arxiv:1403.3630 v2 · 2014-03-14 · math.NT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFJFA6AG4J32EJKA4D6KCY75DJ}

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	2026-05-18T01:18:15.168115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7952507806e277a22540e0fca163fd1a44c23cad2d47fa43e2d397c613ee947f

Aliases

arxiv: 1403.3630 · arxiv_version: 1403.3630v2 · doi: 10.48550/arxiv.1403.3630 · pith_short_12: PFJFA6AG4J32 · pith_short_16: PFJFA6AG4J32EJKA · pith_short_8: PFJFA6AG

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/PFJFA6AG4J32EJKA4D6KCY75DJ \
  | 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: 7952507806e277a22540e0fca163fd1a44c23cad2d47fa43e2d397c613ee947f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4c2a2aeca60559e7bc3dc2e63bb0ba8427c0616b8ed1c2e6a5b7fe6a76872d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-14T16:22:04Z",
    "title_canon_sha256": "5d58940d2b6cefdf97d08b82f93ef3390b23d67a4481678db399e50701a80a0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3630",
    "kind": "arxiv",
    "version": 2
  }
}