Pith Number

pith:TUUQKMUC

pith:2000:TUUQKMUCKMKVNJFPGV5NBZ3W54

not attested not anchored not stored refs pending

Processes with Long Memory: Regenerative Construction and Perfect Simulation

Francis Comets, Pablo A. Ferrari, Roberto Fernandez

arxiv:math/0009204 v3 · 2000-09-22 · math.PR · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUUQKMUCKMKVNJFPGV5NBZ3W54}

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	2026-05-18T04:08:43.253919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d29053282531556a4af357ad0e776ef0c79f6b7eda77b86157ca95b78dc942c

Aliases

arxiv: math/0009204 · arxiv_version: math/0009204v3 · doi: 10.48550/arxiv.math/0009204 · pith_short_12: TUUQKMUCKMKV · pith_short_16: TUUQKMUCKMKVNJFP · pith_short_8: TUUQKMUC

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/TUUQKMUCKMKVNJFPGV5NBZ3W54 \
  | 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: 9d29053282531556a4af357ad0e776ef0c79f6b7eda77b86157ca95b78dc942c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483cc52aa8dd07e7d032b113100f78f50d3a1745ab30b078cc5af1c462dd8f18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-09-22T12:01:32Z",
    "title_canon_sha256": "a3df6e73d0475acf619607c52b001ddd5db9cee991dbd733130efce7f377b0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009204",
    "kind": "arxiv",
    "version": 3
  }
}