Pith Number

pith:Z6TRE5IW

pith:2015:Z6TRE5IW66KBDTOJUVYVYSEI6P

not attested not anchored not stored refs pending

Euler Polynomials and Identities for Non-Commutative Operators

C. Vignat, V. De Angelis

arxiv:1508.04844 v1 · 2015-08-20 · math-ph · 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{Z6TRE5IW66KBDTOJUVYVYSEI6P}

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	2026-05-18T01:22:20.493632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa7127516f79411cdc9a5715c4888f3d8faf23cf619c2dee832e493ce29a8ab

Aliases

arxiv: 1508.04844 · arxiv_version: 1508.04844v1 · doi: 10.48550/arxiv.1508.04844 · pith_short_12: Z6TRE5IW66KB · pith_short_16: Z6TRE5IW66KBDTOJ · pith_short_8: Z6TRE5IW

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/Z6TRE5IW66KBDTOJUVYVYSEI6P \
  | 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: cfa7127516f79411cdc9a5715c4888f3d8faf23cf619c2dee832e493ce29a8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfdbb62b0bd1a7f42061677a2369a136a4524ed7c59ae9c6c71e1470c569a296",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-20T00:52:56Z",
    "title_canon_sha256": "d81d24a9210e2aac70585c8cd7ff0f87df618b1c09c7d476b1cfb33398201539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04844",
    "kind": "arxiv",
    "version": 1
  }
}