Pith Number

pith:E3TODZAG

pith:2013:E3TODZAG677A3WCS7CAADDDOJN

not attested not anchored not stored refs pending

A polynomial representation and a unique code of a simple undirected graph

M. K. Sen, Raibatak Sen Gupta, Shamik Ghosh

arxiv:1304.5847 v2 · 2013-04-22 · 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{E3TODZAG677A3WCS7CAADDDOJN}

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	2026-05-18T03:19:34.711288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e6e1e406f7fe0dd852f880018c6e4b737a1c1ff7285de9587b0948e7fbcb0a

Aliases

arxiv: 1304.5847 · arxiv_version: 1304.5847v2 · doi: 10.48550/arxiv.1304.5847 · pith_short_12: E3TODZAG677A · pith_short_16: E3TODZAG677A3WCS · pith_short_8: E3TODZAG

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/E3TODZAG677A3WCS7CAADDDOJN \
  | 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: 26e6e1e406f7fe0dd852f880018c6e4b737a1c1ff7285de9587b0948e7fbcb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98af8e22856bfc73fcb95e2cd4ce3f52871ec85103d7585457f70ea0fe8f02e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-22T06:13:42Z",
    "title_canon_sha256": "eb5f38ee9ffca03c4419ba0969e066f54604f776c8e8b0545c719cb11acb971f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5847",
    "kind": "arxiv",
    "version": 2
  }
}