Pith Number

pith:NOCCTUD7

pith:2018:NOCCTUD74KGNIY6VCDTIDEGLKB

not attested not anchored not stored refs pending

Tropical curves, graph complexes, and top weight cohomology of M_g

Melody Chan, Sam Payne, Soren Galatius

arxiv:1805.10186 v2 · 2018-05-25 · math.AG · math.AT · 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{NOCCTUD74KGNIY6VCDTIDEGLKB}

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	2026-07-05T04:08:13.550394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8429d07fe28cd463d510e68190cb505730fbfc59c3e51ed8efb045a5472a07

Aliases

arxiv: 1805.10186 · arxiv_version: 1805.10186v2 · doi: 10.48550/arxiv.1805.10186 · pith_short_12: NOCCTUD74KGN · pith_short_16: NOCCTUD74KGNIY6V · pith_short_8: NOCCTUD7

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/NOCCTUD74KGNIY6VCDTIDEGLKB \
  | 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: 6b8429d07fe28cd463d510e68190cb505730fbfc59c3e51ed8efb045a5472a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8370098540db1eb930c58da52f0ac38ec3695b90634700579db3ea0d584f5ce",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-25T14:54:56Z",
    "title_canon_sha256": "2e5757c2b82f5a6f97972fcfdf63f473e4b39ac60a0222c3c22f2914d99f9002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10186",
    "kind": "arxiv",
    "version": 2
  }
}