Pith Number

pith:PIL2ILJ7

pith:2019:PIL2ILJ7PFIS4RHB3UCTZOY3JD

not attested not anchored not stored refs pending

Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry

Bohan Fang, Peng Zhou

arxiv:1903.05300 v1 · 2019-03-13 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIL2ILJ7PFIS4RHB3UCTZOY3JD}

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	2026-05-17T23:51:24.729036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a17a42d3f79512e44e1dd053cbb1b48cafabc396731f5cef8017e3417b2007b

Aliases

arxiv: 1903.05300 · arxiv_version: 1903.05300v1 · doi: 10.48550/arxiv.1903.05300 · pith_short_12: PIL2ILJ7PFIS · pith_short_16: PIL2ILJ7PFIS4RHB · pith_short_8: PIL2ILJ7

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/PIL2ILJ7PFIS4RHB3UCTZOY3JD \
  | 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: 7a17a42d3f79512e44e1dd053cbb1b48cafabc396731f5cef8017e3417b2007b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689c1efa3d74cd68271cd0b073e8fa4995f86e22b07153976051ad199d01678f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-03-13T03:27:10Z",
    "title_canon_sha256": "df3a283ebf1cdbb892d739dd676324bc2062cf9607c947608625a7daee809304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05300",
    "kind": "arxiv",
    "version": 1
  }
}