Pith Number

pith:FJUKVISL

pith:2015:FJUKVISLEWDMTXMZCYR2BH2ZNK

not attested not anchored not stored refs pending

Statistical Signatures of Structural Organization: The case of long memory in renewal processes

James P. Crutchfield, Sarah E. Marzen

arxiv:1512.01859 v1 · 2015-12-06 · cond-mat.stat-mech · cs.IT · math.DS · math.IT · math.ST · physics.data-an · 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{FJUKVISLEWDMTXMZCYR2BH2ZNK}

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	2026-05-18T01:16:44.975383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a68aaa24b2586c9dd991623a09f596a830b32aea392ba88a337bf3ee0c04d5b

Aliases

arxiv: 1512.01859 · arxiv_version: 1512.01859v1 · doi: 10.48550/arxiv.1512.01859 · pith_short_12: FJUKVISLEWDM · pith_short_16: FJUKVISLEWDMTXMZ · pith_short_8: FJUKVISL

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/FJUKVISLEWDMTXMZCYR2BH2ZNK \
  | 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: 2a68aaa24b2586c9dd991623a09f596a830b32aea392ba88a337bf3ee0c04d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a548a8a2155f5aea4bbae7a122f05b4e64f03a1ac6e9090a4af49c8137174d72",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DS",
      "math.IT",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-06T23:30:32Z",
    "title_canon_sha256": "9fbe2081959969c88eda239e18edc2b888f5c560228cbbf80e4588a965ec1cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01859",
    "kind": "arxiv",
    "version": 1
  }
}