Pith Number

pith:AFIN32XT

pith:2012:AFIN32XTWPHV425DUCXGXWGQJI

not attested not anchored not stored refs pending

Evolutio producti infiniti (1-x)(1-xx)(1-x^3)(1-x^4)(1-x^5) etc. in seriem simplicem

Alexander Aycock, Artur Diener, Leonhard Euler

arxiv:1202.0246 v1 · 2012-02-01 · 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{AFIN32XTWPHV425DUCXGXWGQJI}

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	2026-05-18T04:03:19.824118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0150ddeaf3b3cf5e6ba3a0ae6bd8d04a0a23aec2ad8b7aa7fee30dac2796cef4

Aliases

arxiv: 1202.0246 · arxiv_version: 1202.0246v1 · doi: 10.48550/arxiv.1202.0246 · pith_short_12: AFIN32XTWPHV · pith_short_16: AFIN32XTWPHV425D · pith_short_8: AFIN32XT

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/AFIN32XTWPHV425DUCXGXWGQJI \
  | 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: 0150ddeaf3b3cf5e6ba3a0ae6bd8d04a0a23aec2ad8b7aa7fee30dac2796cef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66896d7f2041938c28b57483705fb4b4038abd5de887d1b070c189160b2fd104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-02-01T19:00:35Z",
    "title_canon_sha256": "34b7b9ddc12cf6a256cea91fda927676c7fc49ca365ace447ed070a92f88b4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0246",
    "kind": "arxiv",
    "version": 1
  }
}