Pith Number

pith:TW2PKWJH

pith:2014:TW2PKWJH67OEN2CISV4OIRRIWO

not attested not anchored not stored refs pending

Tropicalizing the space of admissible covers

Dhruv Ranganathan, Hannah Markwig, Renzo Cavalieri

arxiv:1401.4626 v3 · 2014-01-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW2PKWJH67OEN2CISV4OIRRIWO}

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

Cut and paste invariants of moduli spaces of stable maps to toric surfaces

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

Receipt and verification

First computed	2026-05-18T00:52:32.921774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db4f55927f7dc46e8489578e44628b3ad01b1bb3981aca06e2f85c70ea3a50a

Aliases

arxiv: 1401.4626 · arxiv_version: 1401.4626v3 · doi: 10.48550/arxiv.1401.4626 · pith_short_12: TW2PKWJH67OE · pith_short_16: TW2PKWJH67OEN2CI · pith_short_8: TW2PKWJH

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/TW2PKWJH67OEN2CISV4OIRRIWO \
  | 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: 9db4f55927f7dc46e8489578e44628b3ad01b1bb3981aca06e2f85c70ea3a50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40afbb2aecfa8fb414e9e3bd73f6c9bf6bfbe1cbd2425cde88435c08b80557b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-19T01:20:29Z",
    "title_canon_sha256": "e233ef2e0c3c36de1194d9c83a3de7bd8f5af4889600204cb3d74f9ac2b229ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4626",
    "kind": "arxiv",
    "version": 3
  }
}