Pith Number

pith:GZXSBPDT

pith:2014:GZXSBPDTLKZ7RBMSVW572A2AZR

not attested not anchored not stored refs pending

A tropical characterization of complex analytic varieties to be algebraic

Farid Madani, Lamine Nisse, Mounir Nisse

arxiv:1407.6459 v1 · 2014-07-24 · 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{GZXSBPDTLKZ7RBMSVW572A2AZR}

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	2026-05-18T02:46:38.680751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366f20bc735ab3f88592adbbfd0340cc4ca5ab1a072d6443e5e8ee21c23ecd70

Aliases

arxiv: 1407.6459 · arxiv_version: 1407.6459v1 · doi: 10.48550/arxiv.1407.6459 · pith_short_12: GZXSBPDTLKZ7 · pith_short_16: GZXSBPDTLKZ7RBMS · pith_short_8: GZXSBPDT

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/GZXSBPDTLKZ7RBMSVW572A2AZR \
  | 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: 366f20bc735ab3f88592adbbfd0340cc4ca5ab1a072d6443e5e8ee21c23ecd70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d353b690d9ab977d6c08bf9d21b53a6f81627802021f90a7c2a07a0291a563eb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-24T05:44:41Z",
    "title_canon_sha256": "75d8b96009108ad1bea4491516f93d6a1d01d7c3e89d805e91e0e794f69b7eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6459",
    "kind": "arxiv",
    "version": 1
  }
}