Pith Number

pith:ROCOW7LK

pith:2016:ROCOW7LKYETWF6TU2552SCKDKA

not attested not anchored not stored refs pending

Albanese maps of projective manifolds with nef anticanonical bundles

Junyan Cao

arxiv:1612.05921 v3 · 2016-12-18 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROCOW7LKYETWF6TU2552SCKDKA}

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	2026-05-18T00:24:53.059937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b84eb7d6ac12762fa74d77ba909435022c40c1154692da12df2489f76c64a0e

Aliases

arxiv: 1612.05921 · arxiv_version: 1612.05921v3 · doi: 10.48550/arxiv.1612.05921 · pith_short_12: ROCOW7LKYETW · pith_short_16: ROCOW7LKYETWF6TU · pith_short_8: ROCOW7LK

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/ROCOW7LKYETWF6TU2552SCKDKA \
  | 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: 8b84eb7d6ac12762fa74d77ba909435022c40c1154692da12df2489f76c64a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986eed720f867652a93a5a5c3b710d3503c692b6ed731c3f948c5f0e4fe8ec24",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-18T14:37:17Z",
    "title_canon_sha256": "b690ba3bdf832730a6290b43f4ed19e16df98890ad5d84796fba7c50c7a0012e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05921",
    "kind": "arxiv",
    "version": 3
  }
}