Pith Number

pith:IBXWY5FX

pith:2024:IBXWY5FX5OWG47MA52TRILIH5J

not attested not anchored not stored refs pending

Intrinsic mirror symmetry and Frobenius structure theorem via Gromov-Witten theory of root stacks

Samuel Johnston

arxiv:2403.05376 v1 · 2024-03-08 · 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{IBXWY5FX5OWG47MA52TRILIH5J}

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

Quantum periods, toric degenerations and intrinsic mirror symmetry

Receipt and verification

First computed	2026-07-05T07:53:54.460287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406f6c74b7ebac6e7d80eea7142d07ea63063d7c997131d9f467edfe949b8f27

Aliases

arxiv: 2403.05376 · arxiv_version: 2403.05376v1 · doi: 10.48550/arxiv.2403.05376 · pith_short_12: IBXWY5FX5OWG · pith_short_16: IBXWY5FX5OWG47MA · pith_short_8: IBXWY5FX

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/IBXWY5FX5OWG47MA52TRILIH5J \
  | 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: 406f6c74b7ebac6e7d80eea7142d07ea63063d7c997131d9f467edfe949b8f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53acc04bc78420da2e6ce79c171e8802f889a23a6b72dbc01ffa01cbe5c2a0e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-03-08T15:08:29Z",
    "title_canon_sha256": "8a2f0068dc9a3353f46eda324b06eddf965d8f35611fbaa11ec098bf20588a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.05376",
    "kind": "arxiv",
    "version": 1
  }
}