Pith Number

pith:L7K2CSN6

pith:2016:L7K2CSN6AFMXKBYUHDFQU6NJZR

not attested not anchored not stored refs pending

Gromov-Witten Theory of Toric Birational Transformations

Mark Shoemaker, Pedro Acosta

arxiv:1604.03491 v2 · 2016-04-12 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7K2CSN6AFMXKBYUHDFQU6NJZR}

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.

Receipt and verification

First computed	2026-05-18T00:50:31.082555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd5a149be015975071438cb0a79a9cc5001d668e09d7ad74ac82b87248605c4

Aliases

arxiv: 1604.03491 · arxiv_version: 1604.03491v2 · doi: 10.48550/arxiv.1604.03491 · pith_short_12: L7K2CSN6AFMX · pith_short_16: L7K2CSN6AFMXKBYU · pith_short_8: L7K2CSN6

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/L7K2CSN6AFMXKBYUHDFQU6NJZR \
  | 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: 5fd5a149be015975071438cb0a79a9cc5001d668e09d7ad74ac82b87248605c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc81be069f74257743b8345a1233c7cda099d754b7545c70494a28718687fdb5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-12T17:35:38Z",
    "title_canon_sha256": "efe3ea9a386481448696bcdffb37b4645b802100207ed21a0fa12eec289b8539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03491",
    "kind": "arxiv",
    "version": 2
  }
}