Pith Number

pith:GKJNIABH

pith:2015:GKJNIABHXB72WJOSRNYQ7H4G3Y

not attested not anchored not stored refs pending

Topology of the tropical moduli spaces $M_{2,n}$

Melody Chan

arxiv:1507.03878 v1 · 2015-07-14 · math.CO · 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{GKJNIABHXB72WJOSRNYQ7H4G3Y}

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

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

Receipt and verification

First computed	2026-05-18T01:36:52.344511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3292d40027b87fab25d28b710f9f86de0ba0205f11aa44a4c27f5cba855269e2

Aliases

arxiv: 1507.03878 · arxiv_version: 1507.03878v1 · doi: 10.48550/arxiv.1507.03878 · pith_short_12: GKJNIABHXB72 · pith_short_16: GKJNIABHXB72WJOS · pith_short_8: GKJNIABH

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/GKJNIABHXB72WJOSRNYQ7H4G3Y \
  | 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: 3292d40027b87fab25d28b710f9f86de0ba0205f11aa44a4c27f5cba855269e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ca02915f954dae0518175027e7b70c28f4d006c5b23dba54839fef8e2b1d34",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-14T15:04:31Z",
    "title_canon_sha256": "e4d201ecb2136de2b84a1bffdf36c30799d25674528233a7cef37f49a867d9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03878",
    "kind": "arxiv",
    "version": 1
  }
}