Pith Number

pith:XXC67JBY

pith:2011:XXC67JBYZJDMZYAAZKO2ZCRUOF

not attested not anchored not stored refs pending

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

Kenji Yasutomi, Kouji Yano

arxiv:1105.1095 v1 · 2011-05-05 · 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{XXC67JBYZJDMZYAAZKO2ZCRUOF}

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	2026-05-18T04:22:49.268917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc5efa438ca46cce000ca9dac8a3471409136d89c7b7076956ff9eec26cce01

Aliases

arxiv: 1105.1095 · arxiv_version: 1105.1095v1 · doi: 10.48550/arxiv.1105.1095 · pith_short_12: XXC67JBYZJDM · pith_short_16: XXC67JBYZJDMZYAA · pith_short_8: XXC67JBY

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/XXC67JBYZJDMZYAAZKO2ZCRUOF \
  | 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: bdc5efa438ca46cce000ca9dac8a3471409136d89c7b7076956ff9eec26cce01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd29426a03d8b4d96a7e72c0db58872834e33b4c87b271604ee974cdab37c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-05T15:05:13Z",
    "title_canon_sha256": "92caf47d663cb4fbfebb91c45d4d5afdbbd44c149c44522c31194f0c9f2dd230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1095",
    "kind": "arxiv",
    "version": 1
  }
}