pith. sign in
Pith Number

pith:AHPDGIGZ

pith:2014:AHPDGIGZ7SFVVJYBKDCLIGNWIM
not attested not anchored not stored refs pending

Refined curve counting with tropical geometry

Florian Block, Lothar G\"ottsche

arxiv:1407.2901 v1 · 2014-07-10 · math.AG · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AHPDGIGZ7SFVVJYBKDCLIGNWIM}

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 2026-05-17T23:53:14.304573Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

01de3320d9fc8b5aa70150c4b419b6433b9154cd7da45cd9c266fce7984b755a

Aliases

arxiv: 1407.2901 · arxiv_version: 1407.2901v1 · doi: 10.48550/arxiv.1407.2901 · pith_short_12: AHPDGIGZ7SFV · pith_short_16: AHPDGIGZ7SFVVJYB · pith_short_8: AHPDGIGZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AHPDGIGZ7SFVVJYBKDCLIGNWIM \
  | 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: 01de3320d9fc8b5aa70150c4b419b6433b9154cd7da45cd9c266fce7984b755a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f725945f44a45c6be603e60c7b40083c11623668f77c4b44e7bfae65ea0bde04",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-10T18:42:27Z",
    "title_canon_sha256": "07565f6974caf96454f1c6bf97be47b44a2194e407b48ad9090e22fab757c002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2901",
    "kind": "arxiv",
    "version": 1
  }
}