Pith Number

pith:II2KLQAU

pith:2017:II2KLQAUXK7QAWUBJS5GFK27JX

not attested not anchored not stored refs pending

Coalescing random walk on unimodular graphs

Eric Foxall, Matthew Junge, Tom Hutchcroft

arxiv:1701.02653 v3 · 2017-01-10 · 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{II2KLQAUXK7QAWUBJS5GFK27JX}

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	2026-05-18T00:19:14.161440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4234a5c014babf005a814cba62ab5f4ddcbf17da3cd9180a3210169c3f03a049

Aliases

arxiv: 1701.02653 · arxiv_version: 1701.02653v3 · doi: 10.48550/arxiv.1701.02653 · pith_short_12: II2KLQAUXK7Q · pith_short_16: II2KLQAUXK7QAWUB · pith_short_8: II2KLQAU

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/II2KLQAUXK7QAWUBJS5GFK27JX \
  | 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: 4234a5c014babf005a814cba62ab5f4ddcbf17da3cd9180a3210169c3f03a049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb131eefa469e7637dfa66af9661314ee2b39e3943c77437859840ba770f01a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-10T15:59:27Z",
    "title_canon_sha256": "c1b1e05de3f9fb7d81db6139650b88930d0c4c27d4b1351f7efe90fecc07da2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02653",
    "kind": "arxiv",
    "version": 3
  }
}