Pith Number

pith:A34ICR5C

pith:2010:A34ICR5CV4ZOXWVLIKNVBDBXTQ

not attested not anchored not stored refs pending

Szemer\'edi's Regularity Lemma for matrices and sparse graphs

Alexander Scott

arxiv:1010.0628 v2 · 2010-10-04 · 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{A34ICR5CV4ZOXWVLIKNVBDBXTQ}

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	2026-05-18T04:36:50.043415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f88147a2af32ebdaab429b508c379c2dbf5e63271379de37452ad0b8212739

Aliases

arxiv: 1010.0628 · arxiv_version: 1010.0628v2 · doi: 10.48550/arxiv.1010.0628 · pith_short_12: A34ICR5CV4ZO · pith_short_16: A34ICR5CV4ZOXWVL · pith_short_8: A34ICR5C

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/A34ICR5CV4ZOXWVLIKNVBDBXTQ \
  | 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: 06f88147a2af32ebdaab429b508c379c2dbf5e63271379de37452ad0b8212739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c73f36b29a65d604130d7a99cdbce27a0b3d3e73316162c2062297e681e6025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-04T15:41:45Z",
    "title_canon_sha256": "59690bd25908180f6c0b4b2cb268a24027a8b99d3b6b4479aedd45346633480b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0628",
    "kind": "arxiv",
    "version": 2
  }
}