Pith Number

pith:KW7M4CUR

pith:2024:KW7M4CURJLL46XDOOISJBLBCYS

not attested not anchored not stored refs pending

Cops and Robber on Hyperbolic Manifolds

Alexandra Wesolek, Bojan Mohar, Vesna Ir\v{s}i\v{c}

arxiv:2402.05753 v1 · 2024-02-08 · math.CO · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW7M4CURJLL46XDOOISJBLBCYS}

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	2026-07-05T07:43:02.943753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bece0a914ad7cf5c6e722490ac22c4a6b47d80eb6c72497867e5af3d7b70cc

Aliases

arxiv: 2402.05753 · arxiv_version: 2402.05753v1 · doi: 10.48550/arxiv.2402.05753 · pith_short_12: KW7M4CURJLL4 · pith_short_16: KW7M4CURJLL46XDO · pith_short_8: KW7M4CUR

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/KW7M4CURJLL46XDOOISJBLBCYS \
  | 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: 55bece0a914ad7cf5c6e722490ac22c4a6b47d80eb6c72497867e5af3d7b70cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a4933b924597f6d1bfe23ebd573c0d817ad17018894cfe24cd8d6dc54f757c",
    "cross_cats_sorted": [
      "cs.CG",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-08T15:38:18Z",
    "title_canon_sha256": "04d1765645a550ba1b03c4838d4f1c58723cad0f42f7657543238a39ee36c95f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05753",
    "kind": "arxiv",
    "version": 1
  }
}