Pith Number

pith:7ULDEQRH

pith:2011:7ULDEQRHPUKUM2PB4QB6AYXG7T

not attested not anchored not stored refs pending

Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems

Asher Auel, Marcello Bernardara, Michele Bolognesi

arxiv:1109.6938 v4 · 2011-09-30 · 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{7ULDEQRHPUKUM2PB4QB6AYXG7T}

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	2026-05-18T02:49:46.273453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd163242277d154669e1e403e062e6fcec9e0b0e8f4425342d1e3b9d40027024

Aliases

arxiv: 1109.6938 · arxiv_version: 1109.6938v4 · doi: 10.48550/arxiv.1109.6938 · pith_short_12: 7ULDEQRHPUKU · pith_short_16: 7ULDEQRHPUKUM2PB · pith_short_8: 7ULDEQRH

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/7ULDEQRHPUKUM2PB4QB6AYXG7T \
  | 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: fd163242277d154669e1e403e062e6fcec9e0b0e8f4425342d1e3b9d40027024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b46e2d8cba12506cd728df93560014d51781e0a8e8a88e02b2e05d033e5d094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-30T19:56:14Z",
    "title_canon_sha256": "e2d057c4acd96b01e25754c94bef6641c90ac56a1a3014b94890ed3860350793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6938",
    "kind": "arxiv",
    "version": 4
  }
}