Pith Number

pith:DTG3P4CC

pith:2017:DTG3P4CCBXD2SQJ2X7MRPJJTC4

not attested not anchored not stored refs pending

Toric Cycles in the Complement of a Complex Curve in $(\mathbb{C}^{\times})^2$

Alexey Lushin, Dmitry Pochekutov

arxiv:1707.05704 v1 · 2017-07-18 · 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{DTG3P4CCBXD2SQJ2X7MRPJJTC4}

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	2026-05-18T00:40:01.681930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ccdb7f0420dc7a9413abfd917a5331716efd3e98123f63ec75356b177ffda89

Aliases

arxiv: 1707.05704 · arxiv_version: 1707.05704v1 · doi: 10.48550/arxiv.1707.05704 · pith_short_12: DTG3P4CCBXD2 · pith_short_16: DTG3P4CCBXD2SQJ2 · pith_short_8: DTG3P4CC

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/DTG3P4CCBXD2SQJ2X7MRPJJTC4 \
  | 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: 1ccdb7f0420dc7a9413abfd917a5331716efd3e98123f63ec75356b177ffda89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd34860e12f4c41c74da717cca227e3d283bd3ef4ed293e5b906dedcea4f375",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-18T15:49:52Z",
    "title_canon_sha256": "dcc5ac52e9b1c11cdb31fe5c19523b3755419d44926a113498f28c8fb69eb93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05704",
    "kind": "arxiv",
    "version": 1
  }
}