Pith Number

pith:EWQYM25Y

pith:2012:EWQYM25YC55WI2BNTKJFILFOAW

not attested not anchored not stored refs pending

The Cover Time of Random Walks on Graphs

Mohammed Abdullah

arxiv:1202.5569 v1 · 2012-02-24 · math.PR · 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{EWQYM25YC55WI2BNTKJFILFOAW}

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	2026-05-18T04:01:25.382055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25a1866bb8177b64682d9a92542cae0589999ddb3734b4343eef0e758073a628

Aliases

arxiv: 1202.5569 · arxiv_version: 1202.5569v1 · doi: 10.48550/arxiv.1202.5569 · pith_short_12: EWQYM25YC55W · pith_short_16: EWQYM25YC55WI2BN · pith_short_8: EWQYM25Y

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/EWQYM25YC55WI2BNTKJFILFOAW \
  | 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: 25a1866bb8177b64682d9a92542cae0589999ddb3734b4343eef0e758073a628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e81d21ea40ba1839a6e8329de96e5bd90fe08440d34dda30bdd811f76ac41f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-24T21:44:30Z",
    "title_canon_sha256": "9561c1e52e59341c0d0c05941d439f820444cbaa5b27aa25a60e4dbec3039233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5569",
    "kind": "arxiv",
    "version": 1
  }
}