Pith Number

pith:FIOHFBPO

pith:2010:FIOHFBPOCYW4BK2APBUCDASSIC

not attested not anchored not stored refs pending

Generic Vanishing Index and the Birationality of the Bicanonical Map of Irregular Varieties

Mart\'i Lahoz

arxiv:1007.3026 v3 · 2010-07-18 · 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{FIOHFBPOCYW4BK2APBUCDASSIC}

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	2026-05-18T04:07:40.699115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a1c7285ee162dc0ab407868218252409648dc1818fc1c99e0a5d298cdb0e4e1

Aliases

arxiv: 1007.3026 · arxiv_version: 1007.3026v3 · doi: 10.48550/arxiv.1007.3026 · pith_short_12: FIOHFBPOCYW4 · pith_short_16: FIOHFBPOCYW4BK2A · pith_short_8: FIOHFBPO

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/FIOHFBPOCYW4BK2APBUCDASSIC \
  | 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: 2a1c7285ee162dc0ab407868218252409648dc1818fc1c99e0a5d298cdb0e4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af5ac96ff1dc686c06293fc3234a61d83a20d804dc3fddc2dee0c9ef06a6e42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-18T18:08:51Z",
    "title_canon_sha256": "2c8958cd74d5414c0f06681950fff8788f9199e0cc6a07f989d10910a0d17e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3026",
    "kind": "arxiv",
    "version": 3
  }
}