Pith Number

pith:ZFTK4R2O

pith:2017:ZFTK4R2OZFT4JO37ECGOV3FLXO

not attested not anchored not stored refs pending

A moduli stack of tropical curves

Jonathan Wise, Martin Ulirsch, Melody Chan, Renzo Cavalieri

arxiv:1704.03806 v3 · 2017-04-12 · 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{ZFTK4R2OZFT4JO37ECGOV3FLXO}

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

Contractions of subcurves of families of log curves

Receipt and verification

First computed	2026-07-05T00:58:29.904614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c966ae474ec967c4bb7f208ceaecabbbbc0f5adcf185215feb389e2504635522

Aliases

arxiv: 1704.03806 · arxiv_version: 1704.03806v3 · doi: 10.48550/arxiv.1704.03806 · pith_short_12: ZFTK4R2OZFT4 · pith_short_16: ZFTK4R2OZFT4JO37 · pith_short_8: ZFTK4R2O

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/ZFTK4R2OZFT4JO37ECGOV3FLXO \
  | 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: c966ae474ec967c4bb7f208ceaecabbbbc0f5adcf185215feb389e2504635522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fc44c8e189ad09c8d1f2f5a46c377eac0bbeb0a43ee68092b8e83bd3d2179c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-12T15:54:50Z",
    "title_canon_sha256": "a5c9310e0210743f627665ddbb9dfcd82aabc0dddded6055966a8a876f679315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03806",
    "kind": "arxiv",
    "version": 3
  }
}