Pith Number

pith:APK77DHH

pith:2026:APK77DHHQVNIEB2FWXD34EBXXP

not attested not anchored not stored refs pending

Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning

Valentin No\"el

arxiv:2601.00791 v2 · 2026-01-02 · cs.LG · cs.AI · cs.CL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APK77DHHQVNIEB2FWXD34EBXXP}

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	2026-06-11T01:09:25.824443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d5ff8ce7855a820745b5c7be1037bbf70cca4e84c4dbc8db5e053a05bcb7ac

Aliases

arxiv: 2601.00791 · arxiv_version: 2601.00791v2 · doi: 10.48550/arxiv.2601.00791 · pith_short_12: APK77DHHQVNI · pith_short_16: APK77DHHQVNIEB2F · pith_short_8: APK77DHH

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/APK77DHHQVNIEB2FWXD34EBXXP \
  | 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: 03d5ff8ce7855a820745b5c7be1037bbf70cca4e84c4dbc8db5e053a05bcb7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9740182e4dd36b7540337198c39bc9d5f586afabb0c602dc33cfb1a72593a5b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-02T18:49:37Z",
    "title_canon_sha256": "22baddb73e28275f45c63105c26e4bf492da4dca90968ed7b89788b9f0c7dc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00791",
    "kind": "arxiv",
    "version": 2
  }
}