Pith Number

pith:56C7C5N5

pith:2012:56C7C5N5OKE2COJC5ICAOCXSAZ

not attested not anchored not stored refs pending

Syzygies, Pluricanonical Maps, and the Birational Geometry of Varieties of Maximal Albanese Dimension

Sofia Tirabassi

arxiv:1210.0324 v1 · 2012-10-01 · 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{56C7C5N5OKE2COJC5ICAOCXSAZ}

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	2026-05-18T03:44:22.732667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef85f175bd7289a13922ea04070af206458d3ab8d0099533716bd4d4bc7a5744

Aliases

arxiv: 1210.0324 · arxiv_version: 1210.0324v1 · doi: 10.48550/arxiv.1210.0324 · pith_short_12: 56C7C5N5OKE2 · pith_short_16: 56C7C5N5OKE2COJC · pith_short_8: 56C7C5N5

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/56C7C5N5OKE2COJC5ICAOCXSAZ \
  | 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: ef85f175bd7289a13922ea04070af206458d3ab8d0099533716bd4d4bc7a5744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c29365d7463de0520f7d02ebffa1abf0c0f32668960ca8a924edd47961122c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-01T09:48:37Z",
    "title_canon_sha256": "44437907443329af0ecaafcb5107014bb442f81ad2e9dfd6465cdca1daeda086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0324",
    "kind": "arxiv",
    "version": 1
  }
}