Pith Number

pith:BHFNBEPK

pith:2026:BHFNBEPKHNMOCZF2FYR3CVD7EL

not attested not anchored not stored refs pending

Intervals of uniform Tur\'an densities

Heng Li, Oleg Pikhurko, Xizhi Liu

arxiv:2608.04790 v1 · 2026-08-05 · 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{BHFNBEPKHNMOCZF2FYR3CVD7EL}

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	2026-08-06T01:47:07.144951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09cad091ea3b58e164ba2e23b1547f22d31541377b7b4babfae19c98327114d8

Aliases

arxiv: 2608.04790 · arxiv_version: 2608.04790v1 · doi: 10.48550/arxiv.2608.04790 · pith_short_12: BHFNBEPKHNMO · pith_short_16: BHFNBEPKHNMOCZF2 · pith_short_8: BHFNBEPK

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/BHFNBEPKHNMOCZF2FYR3CVD7EL \
  | 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: 09cad091ea3b58e164ba2e23b1547f22d31541377b7b4babfae19c98327114d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06451a19baccff7a3f47d496308841335728a202f7ba741ef2bade0d60f4a1e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-05T12:56:37Z",
    "title_canon_sha256": "774fcbff37a7d07b9b017c9c3f247fc536cf9ba132316462e0a23ca4d41fcfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04790",
    "kind": "arxiv",
    "version": 1
  }
}