Pith Number

pith:OWEUWXEN

pith:2015:OWEUWXENIPOYJ2XG4BFVTJQRJO

not attested not anchored not stored refs pending

Enumerative geometry of elliptic curves on toric surfaces

Dhruv Ranganathan, Yoav Len

arxiv:1510.08556 v3 · 2015-10-29 · 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{OWEUWXENIPOYJ2XG4BFVTJQRJO}

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	2026-05-17T23:59:03.990964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75894b5c8d43dd84eae6e04b59a6114ba1199220a5f99bdff0ee85b586f607bd

Aliases

arxiv: 1510.08556 · arxiv_version: 1510.08556v3 · doi: 10.48550/arxiv.1510.08556 · pith_short_12: OWEUWXENIPOY · pith_short_16: OWEUWXENIPOYJ2XG · pith_short_8: OWEUWXEN

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/OWEUWXENIPOYJ2XG4BFVTJQRJO \
  | 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: 75894b5c8d43dd84eae6e04b59a6114ba1199220a5f99bdff0ee85b586f607bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c66a3747461abd9f72affb41298fddf02d3416702c1626bdc3d8e3a1691f86c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-29T03:25:46Z",
    "title_canon_sha256": "0f174e982ac91d3e3766979a7ed5c4940ec70566024d6aa22e2dfa6d7b45e4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08556",
    "kind": "arxiv",
    "version": 3
  }
}