Pith Number

pith:FOTQPXBU

pith:2012:FOTQPXBU3U3W3CM346LLSHAG44

not attested not anchored not stored refs pending

Schubert varieties are log Fano over the integers

Alan Stapledon, Dave Anderson

arxiv:1203.6678 v1 · 2012-03-29 · 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{FOTQPXBU3U3W3CM346LLSHAG44}

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	2026-05-18T02:58:57.922532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba707dc34dd376d899be796b91c06e72b893d25b60e36a6ee744944aa4874b3

Aliases

arxiv: 1203.6678 · arxiv_version: 1203.6678v1 · doi: 10.48550/arxiv.1203.6678 · pith_short_12: FOTQPXBU3U3W · pith_short_16: FOTQPXBU3U3W3CM3 · pith_short_8: FOTQPXBU

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/FOTQPXBU3U3W3CM346LLSHAG44 \
  | 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: 2ba707dc34dd376d899be796b91c06e72b893d25b60e36a6ee744944aa4874b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74a76d50f25749e6a799abf30be10c62cd19d2bad489dbf874f9391ab99453b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-29T21:56:54Z",
    "title_canon_sha256": "e45f7f2d8a6cdd58840eef3c2e90172d5d1284561675fafaf6d4b549787cac3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6678",
    "kind": "arxiv",
    "version": 1
  }
}