Pith Number

pith:GXLYP7FK

pith:2025:GXLYP7FK3V4IVEYT7KLUARYSJC

not attested not anchored not stored refs pending

The partial K function

David J. Murrell, Jake P. Grainger, Sofia C. Olhede, Tuomas A. Rajala

arxiv:2512.01823 v2 · 2025-12-01 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXLYP7FK3V4IVEYT7KLUARYSJC}

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	2026-05-20T01:06:07.286794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d787fcaadd788a9313fa974047124889c05ef0ecd6fd86992181e0fcc1b27c

Aliases

arxiv: 2512.01823 · arxiv_version: 2512.01823v2 · doi: 10.48550/arxiv.2512.01823 · pith_short_12: GXLYP7FK3V4I · pith_short_16: GXLYP7FK3V4IVEYT · pith_short_8: GXLYP7FK

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/GXLYP7FK3V4IVEYT7KLUARYSJC \
  | 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: 35d787fcaadd788a9313fa974047124889c05ef0ecd6fd86992181e0fcc1b27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2a18a997027d4b9952332ef060bcdda5db8f674be5f7d6366fa872d7f1399b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-12-01T16:03:51Z",
    "title_canon_sha256": "e8399a1c1091986e76d8a5670b2fc71e1eb0c1eda2ede3c1138fcb46f5f828c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01823",
    "kind": "arxiv",
    "version": 2
  }
}