Pith Number

pith:YNCFGOUY

pith:2025:YNCFGOUYQSFMHSEFWREU6TCVPJ

not attested not anchored not stored refs pending

Quantum periods, toric degenerations and intrinsic mirror symmetry

Sam Johnston

arxiv:2501.01408 v3 · 2025-01-02 · 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{YNCFGOUYQSFMHSEFWREU6TCVPJ}

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

2 papers in Pith

Refined curve counting with descendants and quantum mirrors

Exponential concentration for quantum periods via mirror symmetry

Receipt and verification

First computed	2026-07-05T11:58:23.508299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c344533a98848ac3c885b4494f4c557a609b1d9b635e262addc728ba3854d235

Aliases

arxiv: 2501.01408 · arxiv_version: 2501.01408v3 · doi: 10.48550/arxiv.2501.01408 · pith_short_12: YNCFGOUYQSFM · pith_short_16: YNCFGOUYQSFMHSEF · pith_short_8: YNCFGOUY

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/YNCFGOUYQSFMHSEFWREU6TCVPJ \
  | 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: c344533a98848ac3c885b4494f4c557a609b1d9b635e262addc728ba3854d235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f368f58895a8141d36940538ca12c7686b3f89bfd71a73c73a2cdcd7ff1f5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-02T18:54:25Z",
    "title_canon_sha256": "0b6b4324f78d9549013b3d19ff258aea160adfe1815eba30401a75b47906f41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01408",
    "kind": "arxiv",
    "version": 3
  }
}