Pith Number

pith:FHQAYQJR

pith:2011:FHQAYQJRNKKUQQEETUUTLEVLHR

not attested not anchored not stored refs pending

Spaces of sections of quadric surface fibrations over curves

Brendan Hassett, Yuri Tschinkel

arxiv:1111.1203 v1 · 2011-11-04 · 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{FHQAYQJRNKKUQQEETUUTLEVLHR}

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	2026-05-18T04:09:35.516383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e00c41316a954840849d293592ab3c53d8d6d729475b4d7da4773966631b06

Aliases

arxiv: 1111.1203 · arxiv_version: 1111.1203v1 · doi: 10.48550/arxiv.1111.1203 · pith_short_12: FHQAYQJRNKKU · pith_short_16: FHQAYQJRNKKUQQEE · pith_short_8: FHQAYQJR

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/FHQAYQJRNKKUQQEETUUTLEVLHR \
  | 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: 29e00c41316a954840849d293592ab3c53d8d6d729475b4d7da4773966631b06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dd0644158ba006cfec8b1ed224434191e9a72a8bf604805bf29bd09a77b6aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-04T18:27:13Z",
    "title_canon_sha256": "36b031017580cc2db38de06b402192c509362836d0b78eba71292fc50090579e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1203",
    "kind": "arxiv",
    "version": 1
  }
}