Pith Number

pith:ESFFXTSR

pith:2011:ESFFXTSRI77EWLXBCBT7DRW7BU

not attested not anchored not stored refs pending

Cops and Robber Game with a Fast Robber on Expander Graphs and Random Graphs

Abbas Mehrabian

arxiv:1105.2851 v1 · 2011-05-13 · 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{ESFFXTSRI77EWLXBCBT7DRW7BU}

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	2026-05-18T02:56:19.552476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248a5bce5147fe4b2ee11067f1c6df0d0babe3d2f573cb0c5906f2dead015e1e

Aliases

arxiv: 1105.2851 · arxiv_version: 1105.2851v1 · doi: 10.48550/arxiv.1105.2851 · pith_short_12: ESFFXTSRI77E · pith_short_16: ESFFXTSRI77EWLXB · pith_short_8: ESFFXTSR

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/ESFFXTSRI77EWLXBCBT7DRW7BU \
  | 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: 248a5bce5147fe4b2ee11067f1c6df0d0babe3d2f573cb0c5906f2dead015e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3d4d90e827e7e9d153d6f6870aa0659fa5aabde2541baae9936f6fdf02b173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-13T23:29:29Z",
    "title_canon_sha256": "73e47ffb4a2f6254d27617b25b953aa0f06278a5458d25a0589cad6bad605dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2851",
    "kind": "arxiv",
    "version": 1
  }
}