Pith Number

pith:4JPEX7JI

pith:2011:4JPEX7JIZYFYPTYAEX2YCY45I2

not attested not anchored not stored refs pending

On applications of Razborov's flag algebra calculus to extremal 3-graph theory

Emil R. Vaughan, Victor Falgas-Ravry

arxiv:1110.1623 v2 · 2011-10-07 · 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{4JPEX7JIZYFYPTYAEX2YCY45I2}

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	2026-05-18T02:25:11.704605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25e4bfd28ce0b87cf0025f581639d46a8f4b49d911cf7aa3dad8ccc45b48a90

Aliases

arxiv: 1110.1623 · arxiv_version: 1110.1623v2 · doi: 10.48550/arxiv.1110.1623 · pith_short_12: 4JPEX7JIZYFY · pith_short_16: 4JPEX7JIZYFYPTYA · pith_short_8: 4JPEX7JI

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/4JPEX7JIZYFYPTYAEX2YCY45I2 \
  | 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: e25e4bfd28ce0b87cf0025f581639d46a8f4b49d911cf7aa3dad8ccc45b48a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2610e96cbbf06d1d7446aa1fd8f4f75bad298a7897dd0dd836311087d05db57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-07T19:56:43Z",
    "title_canon_sha256": "641dd76d8c9b06fd39ac11f5ccf0175220052518c77c7857c5f609c8707ccbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1623",
    "kind": "arxiv",
    "version": 2
  }
}