Pith Number

pith:G6WCCZRK

pith:2025:G6WCCZRKZEBCLCFRQFB3MYELDK

not attested not anchored not stored refs pending

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm

Jianfeng Hou, Xizhi Liu, Yixiao Zhang

arxiv:2507.12354 v1 · 2025-07-16 · 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{G6WCCZRKZEBCLCFRQFB3MYELDK}

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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

Vertex-colored Tur\'{a}n theorems with applications in extremal hypergraph problems

Receipt and verification

First computed	2026-07-05T11:38:18.844921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ac21662ac9022588b18143b6608b1a9ff8e311d857fe99b5aadd0985abda79

Aliases

arxiv: 2507.12354 · arxiv_version: 2507.12354v1 · doi: 10.48550/arxiv.2507.12354 · pith_short_12: G6WCCZRKZEBC · pith_short_16: G6WCCZRKZEBCLCFR · pith_short_8: G6WCCZRK

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/G6WCCZRKZEBCLCFRQFB3MYELDK \
  | 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: 37ac21662ac9022588b18143b6608b1a9ff8e311d857fe99b5aadd0985abda79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8cf1358cb41cc3c8336f0ed47b320e7a836559ea78dcbb87d42f1a82888d18e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-16T15:52:49Z",
    "title_canon_sha256": "edd82942ac2eef2fdaea5369c0adfe45e87ae272743af1f2f922f55e28bb5b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12354",
    "kind": "arxiv",
    "version": 1
  }
}