Pith Number

pith:G5REPRIS

pith:2016:G5REPRISVAGUCLVH7S3HQACLF2

not attested not anchored not stored refs pending

Small subgraphs in the trace of a random walk

Michael Krivelevich, Peleg Michaeli

arxiv:1605.04585 v2 · 2016-05-15 · 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{G5REPRISVAGUCLVH7S3HQACLF2}

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	2026-07-05T01:47:27.870053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376247c512a80d412ea7fcb678004b2ea179ab1816bf33c481871eb7630bb173

Aliases

arxiv: 1605.04585 · arxiv_version: 1605.04585v2 · doi: 10.48550/arxiv.1605.04585 · pith_short_12: G5REPRISVAGU · pith_short_16: G5REPRISVAGUCLVH · pith_short_8: G5REPRIS

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/G5REPRISVAGUCLVH7S3HQACLF2 \
  | 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: 376247c512a80d412ea7fcb678004b2ea179ab1816bf33c481871eb7630bb173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc9fa392b083ed4db0cc4b81fdd347687f2f1e4912352094627075a56327aa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-15T18:03:56Z",
    "title_canon_sha256": "7ca2d68a8d60ba1cd12d065a88fa5faf1e1e0bd92a6b85a58246e23ae0c21964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04585",
    "kind": "arxiv",
    "version": 2
  }
}