Pith Number

pith:IXF7TGUU

pith:2015:IXF7TGUUXEEHI3J5FIXGSKD7MK

not attested not anchored not stored refs pending

Rank 2 sheaves on toric 3-folds: classical and virtual counts

Amin Gholampour, Benjamin Young, Martijn Kool

arxiv:1509.03536 v2 · 2015-09-11 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXF7TGUUXEEHI3J5FIXGSKD7MK}

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	2026-05-18T00:13:13.805891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cbf99a94b908746d3d2a2e69287f62a6cdc22753ee9889e5ea8508757dfa4a

Aliases

arxiv: 1509.03536 · arxiv_version: 1509.03536v2 · doi: 10.48550/arxiv.1509.03536 · pith_short_12: IXF7TGUUXEEH · pith_short_16: IXF7TGUUXEEHI3J5 · pith_short_8: IXF7TGUU

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/IXF7TGUUXEEHI3J5FIXGSKD7MK \
  | 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: 45cbf99a94b908746d3d2a2e69287f62a6cdc22753ee9889e5ea8508757dfa4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e8b123a4b6b64db608b1161a57fd612bba67ce7771336c6db856caa8eded1e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-11T14:41:16Z",
    "title_canon_sha256": "c8510c111c1ea565968732e16efeca1d0c3e06b409be69d3eb7437891f06fff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03536",
    "kind": "arxiv",
    "version": 2
  }
}