Pith Number

pith:7IAMYCGL

pith:2012:7IAMYCGLBDB2FWYYIZRPHZ2TTB

not attested not anchored not stored refs pending

Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic

Yuchen Zhang

arxiv:1203.1360 v4 · 2012-03-07 · 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{7IAMYCGLBDB2FWYYIZRPHZ2TTB}

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	2026-05-18T02:53:54.297530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902

Aliases

arxiv: 1203.1360 · arxiv_version: 1203.1360v4 · doi: 10.48550/arxiv.1203.1360 · pith_short_12: 7IAMYCGLBDB2 · pith_short_16: 7IAMYCGLBDB2FWYY · pith_short_8: 7IAMYCGL

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/7IAMYCGLBDB2FWYYIZRPHZ2TTB \
  | 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: fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea440f192bdf1c36721b0f2190d98ad9092165c79fd2c888cef0bca8b722bd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-07T00:53:13Z",
    "title_canon_sha256": "7d4eebe0745d393285c8504dcfd6124e97b103e34802ad4d9c4e443773ccc001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1360",
    "kind": "arxiv",
    "version": 4
  }
}