Pith Number

pith:LX3EEICO

pith:2026:LX3EEICOULFIO6JTARXNM5MEPT

not attested not anchored not stored refs pending

The Extremum Stack is a Minimal Sufficient Statistic for Rate-Independent Functionals: A Kolmogorov Complexity Characterisation

Piotr Frydrych

arxiv:2605.18885 v1 · 2026-05-16 · cs.IT · cs.AI · cs.CC · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX3EEICOULFIO6JTARXNM5MEPT}

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	2026-05-20T00:06:30.502434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df642204ea2ca877933046ed675847cc56a624e9c916241748e45099a097e89

Aliases

arxiv: 2605.18885 · arxiv_version: 2605.18885v1 · doi: 10.48550/arxiv.2605.18885 · pith_short_12: LX3EEICOULFI · pith_short_16: LX3EEICOULFIO6JT · pith_short_8: LX3EEICO

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/LX3EEICOULFIO6JTARXNM5MEPT \
  | 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: 5df642204ea2ca877933046ed675847cc56a624e9c916241748e45099a097e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4658b1ec418c18978d85c8c8fc2dbd93a0b0a3c0d1530651a25671839b5565",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-16T19:21:37Z",
    "title_canon_sha256": "5dc61f199d2d1cc93b994dcd8ab29e63a7cac1f247c226520578ae170d84dad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18885",
    "kind": "arxiv",
    "version": 1
  }
}