Pith Number

pith:KI4UQ7Z2

pith:2013:KI4UQ7Z2SSNR7KAO6IUNRIK4OS

not attested not anchored not stored refs pending

Exact Complexity: The Spectral Decomposition of Intrinsic Computation

Christopher J. Ellison, James P. Crutchfield, Paul M. Riechers

arxiv:1309.3792 v1 · 2013-09-15 · cond-mat.stat-mech · cs.IT · math.IT · nlin.CD · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KI4UQ7Z2SSNR7KAO6IUNRIK4OS}

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	2026-05-18T03:13:20.528693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5239487f3a949b1fa80ef228d8a15c74834e9debd26867228dd6d6c4d7e629df

Aliases

arxiv: 1309.3792 · arxiv_version: 1309.3792v1 · doi: 10.48550/arxiv.1309.3792 · pith_short_12: KI4UQ7Z2SSNR · pith_short_16: KI4UQ7Z2SSNR7KAO · pith_short_8: KI4UQ7Z2

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/KI4UQ7Z2SSNR7KAO6IUNRIK4OS \
  | 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: 5239487f3a949b1fa80ef228d8a15c74834e9debd26867228dd6d6c4d7e629df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20dc90f59f53daf08970db1214a05d99f620819bf9928678bde543c3ccd3170",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "nlin.CD",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-09-15T20:06:56Z",
    "title_canon_sha256": "460af8ad311a0f4cf764987d2f491cf743344a601444da4bcba76ab226c45b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3792",
    "kind": "arxiv",
    "version": 1
  }
}