Pith Number

pith:QC4J2COM

pith:2014:QC4J2COMDNP34ZOUAW467AZODJ

not attested not anchored not stored refs pending

Arithmetic theory of E-operators

Stephane Fischler (LM-Orsay), Tanguy Rivoal (IF)

arxiv:1406.5995 v1 · 2014-06-23 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC4J2COMDNP34ZOUAW467AZODJ}

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	2026-05-18T02:49:10.342365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b89d09cc1b5fbe65d405b9ef832e1a7ff9e7d9a42e3c4ca11128dbd6de06c7

Aliases

arxiv: 1406.5995 · arxiv_version: 1406.5995v1 · doi: 10.48550/arxiv.1406.5995 · pith_short_12: QC4J2COMDNP3 · pith_short_16: QC4J2COMDNP34ZOU · pith_short_8: QC4J2COM

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/QC4J2COMDNP34ZOUAW467AZODJ \
  | 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: 80b89d09cc1b5fbe65d405b9ef832e1a7ff9e7d9a42e3c4ca11128dbd6de06c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4321c99bc26cd4a8f569856944784f0a1bbbbe50f2f04fbe11da02305797176",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-23T17:31:17Z",
    "title_canon_sha256": "13948a50b959e2be2c1d0503dc8385e9eacee79ab1c75d7c2d94085f864ec1e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5995",
    "kind": "arxiv",
    "version": 1
  }
}