Pith Number

pith:QG443XX4

pith:2026:QG443XX4A2WKGFYAKO3YRKEK5T

not attested not anchored not stored refs pending

Fano Geometry and Slow Coupon Collecting

Daniel Berend, Dina Barak-Pelleg

arxiv:2606.28216 v1 · 2026-06-26 · 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{QG443XX4A2WKGFYAKO3YRKEK5T}

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	2026-06-29T01:15:09.573048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b9cddefc06aca3170053b788a88aecdb668b851743b7ad8a91e956c6cbea4f

Aliases

arxiv: 2606.28216 · arxiv_version: 2606.28216v1 · doi: 10.48550/arxiv.2606.28216 · pith_short_12: QG443XX4A2WK · pith_short_16: QG443XX4A2WKGFYA · pith_short_8: QG443XX4

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/QG443XX4A2WKGFYAKO3YRKEK5T \
  | 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: 81b9cddefc06aca3170053b788a88aecdb668b851743b7ad8a91e956c6cbea4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a71f4317210332e8605cfdbedb969d74d63d2647e793b667fb8d1ec0f9a3e4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T16:06:11Z",
    "title_canon_sha256": "91050776000b41156f642c9bd1e3510a5c424049e490f41ddc77df6c11f36423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28216",
    "kind": "arxiv",
    "version": 1
  }
}