Pith Number

pith:OWBQIXFO

pith:1996:OWBQIXFOX3TATMJ2ODTX7ZTPXZ

not attested not anchored not stored refs pending

An Algorithmic Version of the Blow-up Lemma

Endre Szemer\'edi, Gabor N. Sarkozy, J\'anos Koml\'os

arxiv:math/9612213 v1 · 1996-12-04 · 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{OWBQIXFOX3TATMJ2ODTX7ZTPXZ}

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	2026-05-18T01:05:37.375857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7583045caebee609b13a70e77fe66fbe707d49a91d4d837bac22f2b5d2cdb98d

Aliases

arxiv: math/9612213 · arxiv_version: math/9612213v1 · doi: 10.48550/arxiv.math/9612213 · pith_short_12: OWBQIXFOX3TA · pith_short_16: OWBQIXFOX3TATMJ2 · pith_short_8: OWBQIXFO

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/OWBQIXFOX3TATMJ2ODTX7ZTPXZ \
  | 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: 7583045caebee609b13a70e77fe66fbe707d49a91d4d837bac22f2b5d2cdb98d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c5303677352aaaa26bf214ac021892ecd7f6b9ae7d0cfa8f722e6fe52f8b87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1996-12-04T00:00:00Z",
    "title_canon_sha256": "fd2d10c72fcf2657ab7d0c3fc85b6c9ddb726b8d4ca41fb05b1952080577ac80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9612213",
    "kind": "arxiv",
    "version": 1
  }
}