Pith Number

pith:VE7J6EDU

pith:2013:VE7J6EDU3AMDSDDY5QHOYM7IA5

not attested not anchored not stored refs pending

Cop and robber game and hyperbolicity

J\'er\'emie Chalopin, Panos Papasoglu, Timoth\'ee Pecatte, Victor Chepoi

arxiv:1308.3987 v3 · 2013-08-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE7J6EDU3AMDSDDY5QHOYM7IA5}

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	2026-05-17T23:58:42.775582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93e9f1074d818390c78ec0eec33e8074a5b6596482457584f4cfb5daf67ff1b

Aliases

arxiv: 1308.3987 · arxiv_version: 1308.3987v3 · doi: 10.48550/arxiv.1308.3987 · pith_short_12: VE7J6EDU3AMD · pith_short_16: VE7J6EDU3AMDSDDY · pith_short_8: VE7J6EDU

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/VE7J6EDU3AMDSDDY5QHOYM7IA5 \
  | 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: a93e9f1074d818390c78ec0eec33e8074a5b6596482457584f4cfb5daf67ff1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194fa7f4245eac9b437eb987686ef3faa8bba55ad300e605d684d363869374be",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-19T11:37:17Z",
    "title_canon_sha256": "8c9b006bed9146d299beeecb93241b7bd9189656f37a7a16b5b93c9607aef146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3987",
    "kind": "arxiv",
    "version": 3
  }
}