Pith Number

pith:WACL2V6V

pith:2026:WACL2V6V4X7HCJBPEUYJ632ZP6

not attested not anchored not stored refs pending

Conceptual completeness for subgeometric logics

Ivan Di Liberti, Lingyuan Ye, Umberto Tarantino

arxiv:2607.02250 v1 · 2026-07-02 · math.LO · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WACL2V6V4X7HCJBPEUYJ632ZP6}

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	2026-07-03T01:17:46.431558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b004bd57d5e5fe71242f25309f6f597f8b44191dc40951cd6b4ccfacc486ef64

Aliases

arxiv: 2607.02250 · arxiv_version: 2607.02250v1 · doi: 10.48550/arxiv.2607.02250 · pith_short_12: WACL2V6V4X7H · pith_short_16: WACL2V6V4X7HCJBP · pith_short_8: WACL2V6V

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/WACL2V6V4X7HCJBPEUYJ632ZP6 \
  | 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: b004bd57d5e5fe71242f25309f6f597f8b44191dc40951cd6b4ccfacc486ef64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b92f41ee9ea85dcb2218f62bd21ade60ca053c00d0089d7ff3b34b379d4c90",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-02T14:42:50Z",
    "title_canon_sha256": "6f39b35e37bd601475e3c6cc91a21cf384ca3492277220e18247d1a2fb61cb6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02250",
    "kind": "arxiv",
    "version": 1
  }
}