Pith Number

pith:PEQBA3DC

pith:2012:PEQBA3DCG7H2S2OOTIV5Y2W3SB

not attested not anchored not stored refs pending

Random walks which prefer unvisited edges. Exploring high girth even degree expanders in linear time

Colin Cooper, Petra Berenbrink, Tom Friedetzky

arxiv:1204.1939 v3 · 2012-04-09 · cs.DS · cs.DC · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEQBA3DCG7H2S2OOTIV5Y2W3SB}

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	2026-05-18T02:21:16.435800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7920106c6237cfa969ce9a2bdc6adb9069dc7ec50a0cb59d08c1c6f1f1aeeba8

Aliases

arxiv: 1204.1939 · arxiv_version: 1204.1939v3 · doi: 10.48550/arxiv.1204.1939 · pith_short_12: PEQBA3DCG7H2 · pith_short_16: PEQBA3DCG7H2S2OO · pith_short_8: PEQBA3DC

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/PEQBA3DCG7H2S2OOTIV5Y2W3SB \
  | 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: 7920106c6237cfa969ce9a2bdc6adb9069dc7ec50a0cb59d08c1c6f1f1aeeba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65a8118769904d27953b136e6e22bae9707e99d7551ee92e732169aedd92720",
    "cross_cats_sorted": [
      "cs.DC",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-04-09T17:52:17Z",
    "title_canon_sha256": "e867f3ba2e6a1f3fa87cc5fd6d7a713600616a98d3d087605e2a5cd930fb1192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1939",
    "kind": "arxiv",
    "version": 3
  }
}