Pith Number

pith:UIVPADG7

pith:2019:UIVPADG7QWGYFNA2YYVHJ6ZMBD

not attested not anchored not stored refs pending

Additive actions on complete toric surfaces

Sergey Dzhunusov

arxiv:1908.03563 v1 · 2019-08-07 · 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{UIVPADG7QWGYFNA2YYVHJ6ZMBD}

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	2026-07-04T23:52:40.920434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22af00cdf858d82b41ac62a74fb2c08f3c1c2748061637527caed49c256f818

Aliases

arxiv: 1908.03563 · arxiv_version: 1908.03563v1 · doi: 10.48550/arxiv.1908.03563 · pith_short_12: UIVPADG7QWGY · pith_short_16: UIVPADG7QWGYFNA2 · pith_short_8: UIVPADG7

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/UIVPADG7QWGYFNA2YYVHJ6ZMBD \
  | 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: a22af00cdf858d82b41ac62a74fb2c08f3c1c2748061637527caed49c256f818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1972fe60e2b5a9e1131daa0ac78a6ee12fe3131e96802706d6509159cbb4987d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-07T20:35:16Z",
    "title_canon_sha256": "d4eb15ac8defdf5491bc7a4a79805800c69751c48d828c7737ddb0117fcc0e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03563",
    "kind": "arxiv",
    "version": 1
  }
}