Pith Number

pith:WEIYBABM

pith:2026:WEIYBABMQU7HNI2DAS5MRWR6G6

not attested not anchored not stored refs pending

Extended Frege proofs, circuits and rewriting

Jan Krajicek

arxiv:2606.13367 v1 · 2026-06-11 · math.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEIYBABMQU7HNI2DAS5MRWR6G6}

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	2026-06-12T01:09:57.829548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11180802c853e76a34304bac8da3e37b7842438eadbcafb97af8d30f5e412dc

Aliases

arxiv: 2606.13367 · arxiv_version: 2606.13367v1 · doi: 10.48550/arxiv.2606.13367 · pith_short_12: WEIYBABMQU7H · pith_short_16: WEIYBABMQU7HNI2D · pith_short_8: WEIYBABM

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/WEIYBABMQU7HNI2DAS5MRWR6G6 \
  | 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: b11180802c853e76a34304bac8da3e37b7842438eadbcafb97af8d30f5e412dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ee5f80f735f3d5c20ab47f603f2f351617601b5c2afc263722e5101d694b04",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-11T13:53:03Z",
    "title_canon_sha256": "b675dd4950053d2e684fadc3b0ef73699f468e0a2e7500b5129b3e4b0cb827ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13367",
    "kind": "arxiv",
    "version": 1
  }
}