Pith Number

pith:ZDFXRMHQ

pith:2015:ZDFXRMHQ37BAL5BOTFQNCCNDK2

not attested not anchored not stored refs pending

Rank two aCM bundles on the del Pezzo threefold of degree $7$

Francesco Malaspina, Gianfranco Casnati, Matej Filip

arxiv:1511.07166 v1 · 2015-11-23 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDFXRMHQ37BAL5BOTFQNCCNDK2}

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	2026-05-18T01:26:12.050531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8cb78b0f0dfc205f42e9960d109a356b3565452139383d5486f11c8769e01ca

Aliases

arxiv: 1511.07166 · arxiv_version: 1511.07166v1 · doi: 10.48550/arxiv.1511.07166 · pith_short_12: ZDFXRMHQ37BA · pith_short_16: ZDFXRMHQ37BAL5BO · pith_short_8: ZDFXRMHQ

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/ZDFXRMHQ37BAL5BOTFQNCCNDK2 \
  | 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: c8cb78b0f0dfc205f42e9960d109a356b3565452139383d5486f11c8769e01ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef755c164af2661a9b5c0c6a2b2f2d522028278d112ddbd8d714a96dd3c2649",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-23T10:34:40Z",
    "title_canon_sha256": "f05aa5131e0b377c7daf919350b7cd132801a73c1bd6622d43148edf80ebbb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07166",
    "kind": "arxiv",
    "version": 1
  }
}