Pith Number

pith:2PRW7P37

pith:2019:2PRW7P37WRRZ4AN4DPTJTM2XIO

not attested not anchored not stored refs pending

Curve counting in genus one: elliptic singularities & relative geometry

Dhruv Ranganathan, Luca Battistella, Navid Nabijou

arxiv:1907.00024 v2 · 2019-06-28 · 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{2PRW7P37WRRZ4AN4DPTJTM2XIO}

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

Gromov-Witten theory with maximal contacts

Receipt and verification

First computed	2026-07-05T04:59:36.834620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e36fbf7fb4639e01bc1be699b357438ebd40c7d7fe7e6415feb1b1679d71a1

Aliases

arxiv: 1907.00024 · arxiv_version: 1907.00024v2 · doi: 10.48550/arxiv.1907.00024 · pith_short_12: 2PRW7P37WRRZ · pith_short_16: 2PRW7P37WRRZ4AN4 · pith_short_8: 2PRW7P37

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/2PRW7P37WRRZ4AN4DPTJTM2XIO \
  | 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: d3e36fbf7fb4639e01bc1be699b357438ebd40c7d7fe7e6415feb1b1679d71a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738ea4d70d6f88ebf164e5d9dba67c27e7f9d09e8c48d532fd640c471fc2fe49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-28T18:20:02Z",
    "title_canon_sha256": "dd1bca62650b106730dde80f488d913eb5d77295fb6d1015baa424c3f29c0c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00024",
    "kind": "arxiv",
    "version": 2
  }
}