Pith Number

pith:KKBFDMDO

pith:2010:KKBFDMDOM3GX3OWMD4CULTK36O

not attested not anchored not stored refs pending

On the Fon-der-Flaass Interpretation of Extremal Examples for Turan's (3,4)-problem

Alexander Razborov

arxiv:1008.4707 v1 · 2010-08-27 · 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{KKBFDMDOM3GX3OWMD4CULTK36O}

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.

Cited by

1 paper in Pith

Blow-up trick in Combinatorics

Receipt and verification

First computed	2026-05-18T04:41:44.448695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528251b06e66cd7dbacc1f0545cd5bf3938b60f85141c510f5016c47380145be

Aliases

arxiv: 1008.4707 · arxiv_version: 1008.4707v1 · doi: 10.48550/arxiv.1008.4707 · pith_short_12: KKBFDMDOM3GX · pith_short_16: KKBFDMDOM3GX3OWM · pith_short_8: KKBFDMDO

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/KKBFDMDOM3GX3OWMD4CULTK36O \
  | 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: 528251b06e66cd7dbacc1f0545cd5bf3938b60f85141c510f5016c47380145be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8ec15641df8802d46cb07aca6f9be0a9b1d11788108d8eebd0af54b770dda3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-27T12:48:48Z",
    "title_canon_sha256": "568d74f9a7a8a9d2519289fd88961253120e57e7cb709cedc4e7f9482fa00100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4707",
    "kind": "arxiv",
    "version": 1
  }
}