Pith Number

pith:3CVHRUK5

pith:2009:3CVHRUK5353IYKTGK6QVPCTYPT

not attested not anchored not stored refs pending

Correspondence theorems for tropical curves I

Takeo Nishinou

arxiv:0912.5090 v4 · 2009-12-27 · math.AG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CVHRUK5353IYKTGK6QVPCTYPT}

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.

Cited by

1 paper in Pith

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-05-18T00:45:16.778704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8aa78d15ddf768c2a6657a1578a787cf8e98e9521e8bc4879f27e4ba84ea9dc

Aliases

arxiv: 0912.5090 · arxiv_version: 0912.5090v4 · doi: 10.48550/arxiv.0912.5090 · pith_short_12: 3CVHRUK5353I · pith_short_16: 3CVHRUK5353IYKTG · pith_short_8: 3CVHRUK5

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/3CVHRUK5353IYKTGK6QVPCTYPT \
  | 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: d8aa78d15ddf768c2a6657a1578a787cf8e98e9521e8bc4879f27e4ba84ea9dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4bee3f0bf334e1be7dc194c6e6d3fd3ab2f20d231d914300c052a0652994d4c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-27T17:16:46Z",
    "title_canon_sha256": "703c6819cf64b26c6fed241226ee4f71e5a3c1831180c3236e1c4a14d1583d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5090",
    "kind": "arxiv",
    "version": 4
  }
}