Pith Number

pith:Z5TI6MB2

pith:2013:Z5TI6MB2H4RJQXA2YJBN2XKKJS

not attested not anchored not stored refs pending

Set Representations of Linegraphs

Jun-Lin Guo, Tao-Ming Wang, Ton Kloks, Yue-Li Wang

arxiv:1309.0170 v2 · 2013-09-01 · 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{Z5TI6MB2H4RJQXA2YJBN2XKKJS}

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	2026-05-18T03:14:18.872861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf668f303a3f22985c1ac242dd5d4a4c890f9470dd48c7a8f0aeeaa813ef0831

Aliases

arxiv: 1309.0170 · arxiv_version: 1309.0170v2 · doi: 10.48550/arxiv.1309.0170 · pith_short_12: Z5TI6MB2H4RJ · pith_short_16: Z5TI6MB2H4RJQXA2 · pith_short_8: Z5TI6MB2

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/Z5TI6MB2H4RJQXA2YJBN2XKKJS \
  | 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: cf668f303a3f22985c1ac242dd5d4a4c890f9470dd48c7a8f0aeeaa813ef0831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536da66496e15ea069009116622c58582a2d8729c23ce52d47e848d072b98b02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-01T00:50:58Z",
    "title_canon_sha256": "2c83a872d2c93a35c2e1df4fb929f2ec2d1a623a356eccefe165ef8cacf12d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0170",
    "kind": "arxiv",
    "version": 2
  }
}