Pith Number

pith:QYPKOAPJ

pith:2011:QYPKOAPJPX6IVVRG5XGUSGX7PS

not attested not anchored not stored refs pending

A Wowzer Type Lower Bound for the Strong Regularity Lemma

Asaf Shapira, Subrahmanyam Kalyanasundaram

arxiv:1107.4896 v2 · 2011-07-25 · 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{QYPKOAPJPX6IVVRG5XGUSGX7PS}

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	2026-05-18T02:58:00.717151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861ea701e97dfc8ad626edcd491aff7c84b0e6af46a95427e1a82ce200903efa

Aliases

arxiv: 1107.4896 · arxiv_version: 1107.4896v2 · doi: 10.48550/arxiv.1107.4896 · pith_short_12: QYPKOAPJPX6I · pith_short_16: QYPKOAPJPX6IVVRG · pith_short_8: QYPKOAPJ

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/QYPKOAPJPX6IVVRG5XGUSGX7PS \
  | 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: 861ea701e97dfc8ad626edcd491aff7c84b0e6af46a95427e1a82ce200903efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb37371ec4e6fcb2959f484edaf786e28df54ae9d963feecf5e80498ee153cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-25T11:14:38Z",
    "title_canon_sha256": "602305bd12a4310162ed0b1b6bef304f89630021a47ead9d67749cbca9d386fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4896",
    "kind": "arxiv",
    "version": 2
  }
}