Pith Number

pith:VNTWAJNC

pith:2016:VNTWAJNCUQDLHHPPHDELS354GL

not attested not anchored not stored refs pending

P_3-Games on Chordal Bipartite Graphs

Fu-Hong Liu, Hsiang-Hsuan Liu, Tao-Ming Wang, Ton Kloks, Wing-Kai Hon, Yue-Li Wang

arxiv:1610.07018 v1 · 2016-10-22 · cs.DS · cs.DM · 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{VNTWAJNCUQDLHHPPHDELS354GL}

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	2026-05-18T01:01:30.661182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab676025a2a406b39def38c8b96fbc32ede17c7f3d6ee1cb7485548c3dbdaaeb

Aliases

arxiv: 1610.07018 · arxiv_version: 1610.07018v1 · doi: 10.48550/arxiv.1610.07018 · pith_short_12: VNTWAJNCUQDL · pith_short_16: VNTWAJNCUQDLHHPP · pith_short_8: VNTWAJNC

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/VNTWAJNCUQDLHHPPHDELS354GL \
  | 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: ab676025a2a406b39def38c8b96fbc32ede17c7f3d6ee1cb7485548c3dbdaaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8016ec1bfca9a5490887947996ebfaf791e14dd1f9e34e98b6db292d4f6fd23",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-10-22T08:58:07Z",
    "title_canon_sha256": "3f77abe685aca15890e37f3b9e3d7a6a7259c01c4fa44c63c498b017f3d7b542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07018",
    "kind": "arxiv",
    "version": 1
  }
}