Pith Number

pith:IMHLGL2W

pith:2012:IMHLGL2WX72KC245PRFXEANYJO

not attested not anchored not stored refs pending

Minimal resolutions, Chow forms and Ulrich bundles on K3 surfaces

Angela Ortega, Gavril Farkas, Marian Aprodu

arxiv:1212.6248 v4 · 2012-12-26 · 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{IMHLGL2WX72KC245PRFXEANYJO}

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	2026-05-18T00:20:54.300138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430eb32f56bff4a16b9d7c4b7201b84b9f7991ca0062b3331a53c5ca4e529d59

Aliases

arxiv: 1212.6248 · arxiv_version: 1212.6248v4 · doi: 10.48550/arxiv.1212.6248 · pith_short_12: IMHLGL2WX72K · pith_short_16: IMHLGL2WX72KC245 · pith_short_8: IMHLGL2W

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/IMHLGL2WX72KC245PRFXEANYJO \
  | 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: 430eb32f56bff4a16b9d7c4b7201b84b9f7991ca0062b3331a53c5ca4e529d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c9debdca3eb84abd025fe084874d7def75d4da32dbc0f55719ef72162ac263",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-26T20:48:22Z",
    "title_canon_sha256": "ad2b9ca07ba5206cf8439f1134d86f6c6f6a36d5eb4ca9bfab6d4ae273481228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6248",
    "kind": "arxiv",
    "version": 4
  }
}