Pith Number

pith:FUCBZLGO

pith:2026:FUCBZLGOAZUODBGQTRTQYT5WDF

not attested not anchored not stored refs pending

On Fano indices of weighted projective spaces

Haidong Liu

arxiv:2608.03434 v1 · 2026-08-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUCBZLGOAZUODBGQTRTQYT5WDF}

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	2026-08-05T01:35:50.566223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d041cacce0668e184d09c670c4fb619762708c60797d8e258084351647ab8ee

Aliases

arxiv: 2608.03434 · arxiv_version: 2608.03434v1 · doi: 10.48550/arxiv.2608.03434 · pith_short_12: FUCBZLGOAZUO · pith_short_16: FUCBZLGOAZUODBGQ · pith_short_8: FUCBZLGO

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/FUCBZLGOAZUODBGQTRTQYT5WDF \
  | 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: 2d041cacce0668e184d09c670c4fb619762708c60797d8e258084351647ab8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bccf4b66bf9b61dd9faf8e9764f396eeda87b17f7da7b9656b64572ba07c9d25",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-04T10:29:22Z",
    "title_canon_sha256": "fdc888e0f11fdda20ade0b8beca8fb4f1dbc478bbe59d81bf62f4e290edd7ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03434",
    "kind": "arxiv",
    "version": 1
  }
}