Pith Number

pith:WZE5ENEM

pith:2026:WZE5ENEMJVNN4RJXGEHU2VFJCS

not attested not anchored not stored refs pending

Bringing closure to theory combination properties

Benjamin Przybocki, Guilherme V. Toledo, Yoni Zohar

arxiv:2605.30762 v1 · 2026-05-29 · cs.LO · math.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{WZE5ENEMJVNN4RJXGEHU2VFJCS}

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	2026-06-01T01:03:14.976646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b649d2348c4d5ade4537310f4d54a914b54858477257389768a1f0c2048a6b78

Aliases

arxiv: 2605.30762 · arxiv_version: 2605.30762v1 · doi: 10.48550/arxiv.2605.30762 · pith_short_12: WZE5ENEMJVNN · pith_short_16: WZE5ENEMJVNN4RJX · pith_short_8: WZE5ENEM

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/WZE5ENEMJVNN4RJXGEHU2VFJCS \
  | 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: b649d2348c4d5ade4537310f4d54a914b54858477257389768a1f0c2048a6b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20ee1d4f5e44f0abc4aa5a73cd9ae616072fcc3bb107f75d7734636eb361106",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-29T02:47:11Z",
    "title_canon_sha256": "a7b1814689b138eb1a04a5c354a2954d1199c05fdb8e0d1a280452d0090669be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30762",
    "kind": "arxiv",
    "version": 1
  }
}