Pith Number

pith:U76N7A6G

pith:2012:U76N7A6GHQQAOFLVN6E5QLTONE

not attested not anchored not stored refs pending

A Pythagoras proof of Szemer\'edi's regularity lemma

Alexander Schrijver

arxiv:1212.3499 v2 · 2012-12-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U76N7A6GHQQAOFLVN6E5QLTONE}

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	2026-05-18T03:38:02.434404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fcdf83c63c200715756f89d82e6e692b1bba4825ae4f8ac1d5561d80b569d2

Aliases

arxiv: 1212.3499 · arxiv_version: 1212.3499v2 · doi: 10.48550/arxiv.1212.3499 · pith_short_12: U76N7A6GHQQA · pith_short_16: U76N7A6GHQQAOFLV · pith_short_8: U76N7A6G

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/U76N7A6GHQQAOFLVN6E5QLTONE \
  | 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: a7fcdf83c63c200715756f89d82e6e692b1bba4825ae4f8ac1d5561d80b569d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fef665703a6c35edffba29478cdff3f9714abf3ab72a7af1b1fec998699cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-14T15:21:42Z",
    "title_canon_sha256": "0b998482a7e96c2c7be06e7c9a241410dce6aa507be5bed1f53f2b744238b396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3499",
    "kind": "arxiv",
    "version": 2
  }
}