Pith Number

pith:ZK2RWSRA

pith:2018:ZK2RWSRATSDUGSZXY2S7U3H2AX

not attested not anchored not stored refs pending

2-uniform words: cycle graphs, and an algorithm to verify specific word-representations of graphs

Ameya Daigavane, Benny K. George, Mrityunjay Singh

arxiv:1806.04673 v1 · 2018-06-12 · 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{ZK2RWSRATSDUGSZXY2S7U3H2AX}

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.

Cited by

1 paper in Pith

Enumeration and Extensions of Word-representants

Receipt and verification

First computed	2026-05-18T00:13:21.100856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab51b4a209c87434b37c6a5fa6cfa05e4b9e177a46c784eabffb5c45b67f952

Aliases

arxiv: 1806.04673 · arxiv_version: 1806.04673v1 · doi: 10.48550/arxiv.1806.04673 · pith_short_12: ZK2RWSRATSDU · pith_short_16: ZK2RWSRATSDUGSZX · pith_short_8: ZK2RWSRA

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/ZK2RWSRATSDUGSZXY2S7U3H2AX \
  | 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: cab51b4a209c87434b37c6a5fa6cfa05e4b9e177a46c784eabffb5c45b67f952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77bc9997d73a7cca52b9d2f34244190c96fc7a58ea6a89c56b6e9060e4062a33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-12T13:01:51Z",
    "title_canon_sha256": "82116439b95938b44a5cfabb8114f056f7ccec66771140b223b72c605bac4eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04673",
    "kind": "arxiv",
    "version": 1
  }
}