Pith Number

pith:VCKOJDW7

pith:2024:VCKOJDW7ZGXKK7VRF324AB2JCW

not attested not anchored not stored refs pending

Tokenisation is NP-Complete

Gregor Bachmann, Philip Whittington, Tiago Pimentel

arxiv:2412.15210 v1 · 2024-12-19 · cs.DS · cs.CL · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCKOJDW7ZGXKK7VRF324AB2JCW}

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	2026-07-05T09:51:59.227064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a894e48edfc9aea57eb12ef5c007491597fff4284a9649f19729f15f589b399a

Aliases

arxiv: 2412.15210 · arxiv_version: 2412.15210v1 · doi: 10.48550/arxiv.2412.15210 · pith_short_12: VCKOJDW7ZGXK · pith_short_16: VCKOJDW7ZGXKK7VR · pith_short_8: VCKOJDW7

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/VCKOJDW7ZGXKK7VRF324AB2JCW \
  | 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: a894e48edfc9aea57eb12ef5c007491597fff4284a9649f19729f15f589b399a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748251f56a08a413f85c42f1dd3ddeee15c2421424a73b514768d5f94a25095c",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-12-19T18:59:46Z",
    "title_canon_sha256": "02fdbe899f64c7ceff32a089cdfcdb1787248574f55d3a7fe8e0211527b37661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15210",
    "kind": "arxiv",
    "version": 1
  }
}