Pith Number

pith:WRQED4BV

pith:2015:WRQED4BVZL4ZY6LW4P2VVGTZ7Z

not attested not anchored not stored refs pending

Finding paths in sparse random graphs requires many queries

Asaf Ferber, Benny Sudakov, Michael Krivelevich, Pedro Vieira

arxiv:1505.00734 v2 · 2015-05-04 · 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{WRQED4BVZL4ZY6LW4P2VVGTZ7Z}

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	2026-05-18T01:09:55.336309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46041f035caf99c7976e3f55a9a79fe613847abd3d9d9c01add81cfcbf6a068

Aliases

arxiv: 1505.00734 · arxiv_version: 1505.00734v2 · doi: 10.48550/arxiv.1505.00734 · pith_short_12: WRQED4BVZL4Z · pith_short_16: WRQED4BVZL4ZY6LW · pith_short_8: WRQED4BV

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/WRQED4BVZL4ZY6LW4P2VVGTZ7Z \
  | 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: b46041f035caf99c7976e3f55a9a79fe613847abd3d9d9c01add81cfcbf6a068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5b49c5641447add82ece2773159ba29f224c90a714f74b6f21689e069d588d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-04T18:02:51Z",
    "title_canon_sha256": "e0b42cd2e160c41d6b12fad76f558ff0c57034f3e783ded327fb04f35b6a30dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00734",
    "kind": "arxiv",
    "version": 2
  }
}