Pith Number

pith:KBCWZR2U

pith:2022:KBCWZR2UFCSVL3KZG2FCA6FXPS

not attested not anchored not stored refs pending

Formalising Szemer\'edi's Regularity Lemma and Roth's Theorem on Arithmetic Progressions in Isabelle/HOL

Angeliki Koutsoukou-Argyraki, Chelsea Edmonds, Lawrence C. Paulson

arxiv:2207.07499 v3 · 2022-07-15 · 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{KBCWZR2UFCSVL3KZG2FCA6FXPS}

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	2026-07-05T05:06:13.806234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50456cc75428a555ed59368a2078b77c9f0b04d59a4b177acf56bb90fa51ba16

Aliases

arxiv: 2207.07499 · arxiv_version: 2207.07499v3 · doi: 10.48550/arxiv.2207.07499 · pith_short_12: KBCWZR2UFCSV · pith_short_16: KBCWZR2UFCSVL3KZ · pith_short_8: KBCWZR2U

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/KBCWZR2UFCSVL3KZG2FCA6FXPS \
  | 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: 50456cc75428a555ed59368a2078b77c9f0b04d59a4b177acf56bb90fa51ba16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b493250f1520f5376082671168bb69599c2b8945ce7a4e0c7598456fd9a2ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-07-15T14:35:03Z",
    "title_canon_sha256": "dee4d35d12c5a16bfa011205ab0bfc2a24b2f73f791c6fe7945d7b761453e957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07499",
    "kind": "arxiv",
    "version": 3
  }
}