Pith Number

pith:GP7262NK

pith:2015:GP7262NKHUM4JIFIIZ2LLZVDGY

not attested not anchored not stored refs pending

A Symbolic Approach to Some Indentities for Bernoulli-Barnes Polynomials

Christophe Vignat, Lin Jiu, Victor H. Moll

arxiv:1504.01318 v1 · 2015-04-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP7262NKHUM4JIFIIZ2LLZVDGY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:44:46.213026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ffaf69aa3d19c4a0a84674b5e6a3361bff10f52bea7521ff538aa5e5fffe88

Aliases

arxiv: 1504.01318 · arxiv_version: 1504.01318v1 · doi: 10.48550/arxiv.1504.01318 · pith_short_12: GP7262NKHUM4 · pith_short_16: GP7262NKHUM4JIFI · pith_short_8: GP7262NK

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/GP7262NKHUM4JIFIIZ2LLZVDGY \
  | 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: 33ffaf69aa3d19c4a0a84674b5e6a3361bff10f52bea7521ff538aa5e5fffe88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27502511bf39bc5afdb8139825261aec2c4b74002838405fe2fb195b64301f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-06T16:54:59Z",
    "title_canon_sha256": "369f2558704139ff6ff0b615f949c5a590320f67e75a3e4085c2e2c81b4df7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01318",
    "kind": "arxiv",
    "version": 1
  }
}