Pith Number

pith:Z3JNA3E6

pith:2011:Z3JNA3E6X52GC4TARWBHEEJF4R

not attested not anchored not stored refs pending

Computing the Girth of a Planar Graph in Linear Time

Hsien-Chih Chang, Hsueh-I Lu

arxiv:1104.4892 v2 · 2011-04-26 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3JNA3E6X52GC4TARWBHEEJF4R}

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	2026-05-18T02:27:57.448496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced2d06c9ebf746172608d82721125e47702a4c469788ad124aadc1875d869a0

Aliases

arxiv: 1104.4892 · arxiv_version: 1104.4892v2 · doi: 10.48550/arxiv.1104.4892 · pith_short_12: Z3JNA3E6X52G · pith_short_16: Z3JNA3E6X52GC4TA · pith_short_8: Z3JNA3E6

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/Z3JNA3E6X52GC4TARWBHEEJF4R \
  | 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: ced2d06c9ebf746172608d82721125e47702a4c469788ad124aadc1875d869a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e120650eecc79665461dfaf658d31c6ad57b523cae2e571cfdb6de038bde3ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-04-26T11:44:19Z",
    "title_canon_sha256": "2fec8a1a57a726caa88d45a37d38e49236245a7d0b672239a10e17a2541227a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4892",
    "kind": "arxiv",
    "version": 2
  }
}