Pith Number

pith:V65D6WOL

pith:2019:V65D6WOLV43N2F7DWGQFP7PGUV

not attested not anchored not stored refs pending

Topology of moduli spaces of tropical curves with marked points

Melody Chan, Sam Payne, Soren Galatius

arxiv:1903.07187 v2 · 2019-03-17 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V65D6WOLV43N2F7DWGQFP7PGUV}

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

Homotopy Frobenius structures on the cohomology of a manifold

Receipt and verification

First computed	2026-07-05T04:08:13.747560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afba3f59cbaf36dd17e3b1a057fde6a558cc1c39d83d33b78be1296493a61ac2

Aliases

arxiv: 1903.07187 · arxiv_version: 1903.07187v2 · doi: 10.48550/arxiv.1903.07187 · pith_short_12: V65D6WOLV43N · pith_short_16: V65D6WOLV43N2F7D · pith_short_8: V65D6WOL

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/V65D6WOLV43N2F7DWGQFP7PGUV \
  | 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: afba3f59cbaf36dd17e3b1a057fde6a558cc1c39d83d33b78be1296493a61ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7979ecb06ba64a9e6b575fae98533a90aba0f1b81444d54ac3145c04485bd00f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-17T22:19:22Z",
    "title_canon_sha256": "fcaed13ded2be26fad73322ecafda393a59d548a0ef3969c0518a09ec4f0a6be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07187",
    "kind": "arxiv",
    "version": 2
  }
}