Pith Number

pith:EXO26YYI

pith:2012:EXO26YYIO5VA2376EMDTUYL7IP

not attested not anchored not stored refs pending

Combined algebraic and multiplicative properties near zero

Dibyendu De, Ram Krishna Paul

arxiv:1201.1224 v3 · 2012-01-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXO26YYIO5VA2376EMDTUYL7IP}

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	2026-05-18T04:04:06.292789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ddaf6308776a0d6ffe23073a617f43d5436c80ba1209a01675f59fe508650a

Aliases

arxiv: 1201.1224 · arxiv_version: 1201.1224v3 · doi: 10.48550/arxiv.1201.1224 · pith_short_12: EXO26YYIO5VA · pith_short_16: EXO26YYIO5VA2376 · pith_short_8: EXO26YYI

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/EXO26YYIO5VA2376EMDTUYL7IP \
  | 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: 25ddaf6308776a0d6ffe23073a617f43d5436c80ba1209a01675f59fe508650a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c45f1c2a7f0182c09db05f8b9334339d3a8aa78a39bb138d9b1fece5a6078b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-05T17:26:44Z",
    "title_canon_sha256": "06a88fd91c64fd22479425569fa56ccb9d0d1bb3ecb4b40ca85d54ed62f1b1ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1224",
    "kind": "arxiv",
    "version": 3
  }
}