Pith Number

pith:Y4C7TLLP

pith:2007:Y4C7TLLPIIBMVSYZSB2IOC5HOM

not attested not anchored not stored refs pending

A graph theoretic interpretation of the mean first passage times

Pavel Chebotarev

arxiv:math/0701359 v4 · 2007-01-12 · math.PR · 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{Y4C7TLLPIIBMVSYZSB2IOC5HOM}

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	2026-05-18T00:27:13.889860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c705f9ad6f4202cacb199074870ba7730b314ce6e3e68c84f96d138d9f16f99f

Aliases

arxiv: math/0701359 · arxiv_version: math/0701359v4 · doi: 10.48550/arxiv.math/0701359 · pith_short_12: Y4C7TLLPIIBM · pith_short_16: Y4C7TLLPIIBMVSYZ · pith_short_8: Y4C7TLLP

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/Y4C7TLLPIIBMVSYZSB2IOC5HOM \
  | 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: c705f9ad6f4202cacb199074870ba7730b314ce6e3e68c84f96d138d9f16f99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3c6a0bc65e7c976213c38c91b32ca7646b041b93abe1bf783d56b0f9541149",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-01-12T19:36:09Z",
    "title_canon_sha256": "d4e5122a0b7af7708ba15b2898ab82bdbfe18fab62ab75afacc5760c1c06eb94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701359",
    "kind": "arxiv",
    "version": 4
  }
}