Pith Number

pith:NIAMVFJD

pith:2014:NIAMVFJDRNJ32BIZPN3Q6YJ57H

not attested not anchored not stored refs pending

A quantitative version of the Blow-up Lemma

Gabor N. Sarkozy

arxiv:1405.7302 v1 · 2014-05-28 · 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{NIAMVFJDRNJ32BIZPN3Q6YJ57H}

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	2026-05-18T02:50:52.360265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a00ca95238b53bd05197b770f613df9c5c7410f3ca158a2cb09a13fdcfe104a

Aliases

arxiv: 1405.7302 · arxiv_version: 1405.7302v1 · doi: 10.48550/arxiv.1405.7302 · pith_short_12: NIAMVFJDRNJ3 · pith_short_16: NIAMVFJDRNJ32BIZ · pith_short_8: NIAMVFJD

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/NIAMVFJDRNJ32BIZPN3Q6YJ57H \
  | 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: 6a00ca95238b53bd05197b770f613df9c5c7410f3ca158a2cb09a13fdcfe104a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a01ecfcf5750ebad848658a4cb9c1524719291f16727c5f9b270b1d3b65ba90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-28T16:44:16Z",
    "title_canon_sha256": "a5c74df2e248222f43cfe3f8fa2f9a8ca21acc44e49b0a791940d071c92ddb8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7302",
    "kind": "arxiv",
    "version": 1
  }
}