Pith Number

pith:VOZIS57B

pith:2012:VOZIS57BY35MTXEF5B64DCUN25

not attested not anchored not stored refs pending

Disquitiones analyticae super evolutione potestatis trinomialis (1+x+xx)^n

Alexander Aycock, Artur Diener, Leonhard Euler

arxiv:1202.0028 v1 · 2012-01-31 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOZIS57BY35MTXEF5B64DCUN25}

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	2026-05-18T04:03:20.723099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb28977e1c6fac9dc85e87dc18a8dd77179da8b0c0f1bed355919e996673ad4

Aliases

arxiv: 1202.0028 · arxiv_version: 1202.0028v1 · doi: 10.48550/arxiv.1202.0028 · pith_short_12: VOZIS57BY35M · pith_short_16: VOZIS57BY35MTXEF · pith_short_8: VOZIS57B

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/VOZIS57BY35MTXEF5B64DCUN25 \
  | 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: abb28977e1c6fac9dc85e87dc18a8dd77179da8b0c0f1bed355919e996673ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2382524b946ad0cdabea4ebbd9c48a29aedd16fc022a3211dcbbb9e898433a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-01-31T21:19:54Z",
    "title_canon_sha256": "fae70351e04e1afce76f2e9bf5d8abc0958d4ef1e2cbe82f32cf0564e4a69eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0028",
    "kind": "arxiv",
    "version": 1
  }
}