Pith Number

pith:YEOPSJHH

pith:2016:YEOPSJHHVBIBS6JCPBZEJFJK4D

not attested not anchored not stored refs pending

Rank two aCM bundles on general determinantal quartic surfaces in $\mathbb{P}^3$

Gianfranco Casnati

arxiv:1601.02911 v2 · 2016-01-12 · 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{YEOPSJHHVBIBS6JCPBZEJFJK4D}

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	2026-05-18T01:16:14.778509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11cf924e7a850197922787244952ae0ddc6c4e84b0a7c05f1b8923645b4e279

Aliases

arxiv: 1601.02911 · arxiv_version: 1601.02911v2 · doi: 10.48550/arxiv.1601.02911 · pith_short_12: YEOPSJHHVBIB · pith_short_16: YEOPSJHHVBIBS6JC · pith_short_8: YEOPSJHH

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/YEOPSJHHVBIBS6JCPBZEJFJK4D \
  | 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: c11cf924e7a850197922787244952ae0ddc6c4e84b0a7c05f1b8923645b4e279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35cfde79c80b71a30cdea21fde905d593d98ab0ce7df65f6e7d431133a85a7b0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-12T15:30:28Z",
    "title_canon_sha256": "c0a0f18e441fa8d9c09621bc45ce7d51e2971b1b5cd7fcc46aa5c3a2793f65d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02911",
    "kind": "arxiv",
    "version": 2
  }
}