Pith Number

pith:FQNDNCJZ

pith:2010:FQNDNCJZ4C3SL56ID4TUY6YOES

not attested not anchored not stored refs pending

Random walk in a finite directed graph subject to a road coloring

Kouji Yano

arxiv:1005.0079 v3 · 2010-05-01 · 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{FQNDNCJZ4C3SL56ID4TUY6YOES}

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	2026-05-18T02:24:09.532428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1a368939e0b725f7c81f274c7b0e2497d2523dce85425841a08e7aba49c619

Aliases

arxiv: 1005.0079 · arxiv_version: 1005.0079v3 · doi: 10.48550/arxiv.1005.0079 · pith_short_12: FQNDNCJZ4C3S · pith_short_16: FQNDNCJZ4C3SL56I · pith_short_8: FQNDNCJZ

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/FQNDNCJZ4C3SL56ID4TUY6YOES \
  | 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: 2c1a368939e0b725f7c81f274c7b0e2497d2523dce85425841a08e7aba49c619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ea60af464b01e7e74d8771650603fedcfef994e0390fb073e48eaf81e825d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-01T15:05:56Z",
    "title_canon_sha256": "e4808c149ae0792f36de0df35bdd4becfb37b5ebb466a8796f87902af15ae7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0079",
    "kind": "arxiv",
    "version": 3
  }
}