Pith Number

pith:QSHCHK4Q

pith:2026:QSHCHK4QCQWI7D3HUP5CCLKDQP

not attested not anchored not stored refs pending

Random Tur\'an Theorem for the Fano Plane

Ilay Hoshen

arxiv:2607.28071 v1 · 2026-07-30 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSHCHK4QCQWI7D3HUP5CCLKDQP}

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	2026-07-31T01:35:32.965962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

848e23ab90142c8f8f67a3fa212d4383f2e0db7b5bbfc0a68b9de58a1df68f6b

Aliases

arxiv: 2607.28071 · arxiv_version: 2607.28071v1 · doi: 10.48550/arxiv.2607.28071 · pith_short_12: QSHCHK4QCQWI · pith_short_16: QSHCHK4QCQWI7D3H · pith_short_8: QSHCHK4Q

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/QSHCHK4QCQWI7D3HUP5CCLKDQP \
  | 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: 848e23ab90142c8f8f67a3fa212d4383f2e0db7b5bbfc0a68b9de58a1df68f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ea2a6f15524814ed3a6e3cd32d705bc2979d80a320ccf26eda304b8493f5ff",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T11:45:43Z",
    "title_canon_sha256": "b574e0e49090d1e5610d8a5a2789e114efc6d0af905d0977bb7f6b1733482a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28071",
    "kind": "arxiv",
    "version": 1
  }
}