Pith Number

pith:PJC3Q7NM

pith:2015:PJC3Q7NM3O226MQKVPYWR2YFW7

not attested not anchored not stored refs pending

Extremal problems on the Hamiltonicity of claw-free graphs

Binlong Li, Bo Ning, Xing Peng

arxiv:1504.04195 v3 · 2015-04-16 · 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{PJC3Q7NM3O226MQKVPYWR2YFW7}

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	2026-05-18T00:10:48.328151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a45b87dacdbb5af320aabf168eb05b7c9b7f03adcacda0dd568d0d72693776c

Aliases

arxiv: 1504.04195 · arxiv_version: 1504.04195v3 · doi: 10.48550/arxiv.1504.04195 · pith_short_12: PJC3Q7NM3O22 · pith_short_16: PJC3Q7NM3O226MQK · pith_short_8: PJC3Q7NM

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/PJC3Q7NM3O226MQKVPYWR2YFW7 \
  | 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: 7a45b87dacdbb5af320aabf168eb05b7c9b7f03adcacda0dd568d0d72693776c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172f3958004ea6e0179054fd081c1a9f06df4209207ffa76382c2346d0b928f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T11:58:17Z",
    "title_canon_sha256": "117d33e9fb517e7613fc0bf0ab41c27996e3562508a16e9861afbbb126bd8af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04195",
    "kind": "arxiv",
    "version": 3
  }
}