Pith Number

pith:DS3W5XKK

pith:2012:DS3W5XKKQFKM5G3FEQAWDJ3ZH7

not attested not anchored not stored refs pending

Non-backtracking random walk

Remco van der Hofstad, Robert Fitzner

arxiv:1212.6390 v1 · 2012-12-27 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DS3W5XKKQFKM5G3FEQAWDJ3ZH7}

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	2026-05-18T03:37:39.867708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb76edd4a8154ce9b65240161a7793ffd1f25407ff11e82f124cbe6ccbd2a61

Aliases

arxiv: 1212.6390 · arxiv_version: 1212.6390v1 · doi: 10.48550/arxiv.1212.6390 · pith_short_12: DS3W5XKKQFKM · pith_short_16: DS3W5XKKQFKM5G3F · pith_short_8: DS3W5XKK

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/DS3W5XKKQFKM5G3FEQAWDJ3ZH7 \
  | 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: 1cb76edd4a8154ce9b65240161a7793ffd1f25407ff11e82f124cbe6ccbd2a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3f96434300dbea910058dd29e1bb8d87e73b8e761fe0fbd854bd05679a3569",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-27T16:23:01Z",
    "title_canon_sha256": "587a458d622cec25f45df55df69e15c11c288abd9cdfb99c1c9054c2fe261fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6390",
    "kind": "arxiv",
    "version": 1
  }
}