Pith Number

pith:FCRZAFDR

pith:2015:FCRZAFDRQCPJKA7D7A5QGGJQSJ

not attested not anchored not stored refs pending

Finite generation of adjoint ring for log surfaces

Kenta Hashizume

arxiv:1505.02282 v3 · 2015-05-09 · 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{FCRZAFDRQCPJKA7D7A5QGGJQSJ}

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	2026-05-18T01:23:18.880846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a3901471809e9503e3f83b031930926c49a4b31faa14a24d7b5f8cd32d0d3d

Aliases

arxiv: 1505.02282 · arxiv_version: 1505.02282v3 · doi: 10.48550/arxiv.1505.02282 · pith_short_12: FCRZAFDRQCPJ · pith_short_16: FCRZAFDRQCPJKA7D · pith_short_8: FCRZAFDR

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/FCRZAFDRQCPJKA7D7A5QGGJQSJ \
  | 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: 28a3901471809e9503e3f83b031930926c49a4b31faa14a24d7b5f8cd32d0d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238a05e98962fce5685bc576cf2f0eb77801545dabe6a5fafb2c0bf907cc521d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-09T14:53:05Z",
    "title_canon_sha256": "f5a59d801fd2898b9ee7e2e1f713b3bda1a8530b1b343243d5e97ded40f627a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02282",
    "kind": "arxiv",
    "version": 3
  }
}