Pith Number

pith:GICG4H3L

pith:2013:GICG4H3LLXEQHD67TNOLXZND4X

not attested not anchored not stored refs pending

Manifolds with nef anticanonical bundle

Andreas H\"oring, Junyan Cao

arxiv:1305.1018 v2 · 2013-05-05 · 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{GICG4H3LLXEQHD67TNOLXZND4X}

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	2026-05-18T00:31:56.367231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32046e1f6b5dc9038fdf9b5cbbe5a3e5f52229c25e209963b29908c521c628f3

Aliases

arxiv: 1305.1018 · arxiv_version: 1305.1018v2 · doi: 10.48550/arxiv.1305.1018 · pith_short_12: GICG4H3LLXEQ · pith_short_16: GICG4H3LLXEQHD67 · pith_short_8: GICG4H3L

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/GICG4H3LLXEQHD67TNOLXZND4X \
  | 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: 32046e1f6b5dc9038fdf9b5cbbe5a3e5f52229c25e209963b29908c521c628f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f4bd6a2dd36f29c6f767bc419a8d9ef451afc0c698d2b63866767b7cb96143",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-05T14:52:54Z",
    "title_canon_sha256": "225aa1a20760905036b82c18446eb83f0867fd55b7b883f10f54e57cb3d43e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1018",
    "kind": "arxiv",
    "version": 2
  }
}