Pith Number

pith:HGUKVHVG

pith:2015:HGUKVHVGZ6JADGQBGCDZDNGJH5

not attested not anchored not stored refs pending

An exact Tur\'an result for tripartite 3-graphs

Adam Sanitt, John Talbot

arxiv:1504.07796 v1 · 2015-04-29 · 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{HGUKVHVGZ6JADGQBGCDZDNGJH5}

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	2026-05-18T02:17:32.190552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a8aa9ea6cf92019a01308791b4c93f73d58cc54d13e8962b65f1ec91f33c12

Aliases

arxiv: 1504.07796 · arxiv_version: 1504.07796v1 · doi: 10.48550/arxiv.1504.07796 · pith_short_12: HGUKVHVGZ6JA · pith_short_16: HGUKVHVGZ6JADGQB · pith_short_8: HGUKVHVG

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/HGUKVHVGZ6JADGQBGCDZDNGJH5 \
  | 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: 39a8aa9ea6cf92019a01308791b4c93f73d58cc54d13e8962b65f1ec91f33c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a91c643c2158fd8ab40ba8fd04381bd9e96cd04b4754d228fc27964395cfb21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-29T10:23:23Z",
    "title_canon_sha256": "6aac6e2d3c774e7cb94a644616e6c0b1a491792e846d72ac1857f2b9687d6ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07796",
    "kind": "arxiv",
    "version": 1
  }
}