Pith Number

pith:U6V2SQFT

pith:2016:U6V2SQFT2EVJYNDQDTIA2QKF2F

not attested not anchored not stored refs pending

The tropicalization of the moduli space of curves II: Topology and applications

Melody Chan, Sam Payne, Soren Galatius

arxiv:1604.03176 v2 · 2016-04-11 · math.AG · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6V2SQFT2EVJYNDQDTIA2QKF2F}

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

2 papers in Pith

The surface category and tropical curves

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

Receipt and verification

First computed	2026-05-18T00:14:57.456641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7aba940b3d12a9c34701cd00d4145d1479d21b43c0fd716f6b211f2036a9404

Aliases

arxiv: 1604.03176 · arxiv_version: 1604.03176v2 · doi: 10.48550/arxiv.1604.03176 · pith_short_12: U6V2SQFT2EVJ · pith_short_16: U6V2SQFT2EVJYNDQ · pith_short_8: U6V2SQFT

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/U6V2SQFT2EVJYNDQDTIA2QKF2F \
  | 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: a7aba940b3d12a9c34701cd00d4145d1479d21b43c0fd716f6b211f2036a9404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00404d53b073396a513214b708c0696ffcf0be790057ac7c840341c365006cdd",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-11T23:37:19Z",
    "title_canon_sha256": "a1038da44fca57a7f5915a5cf44ceb17de1efe6102d8ea6c128c8d9e428396da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03176",
    "kind": "arxiv",
    "version": 2
  }
}