Pith Number

pith:IFAL342K

pith:2024:IFAL342K6HJXBCUXR2MICFVPWP

not attested not anchored not stored refs pending

Homological mirror symmetry for Batyrev mirror pairs

Andrew Hanlon, Daniel Pomerleano, Jeff Hicks, Nick Sheridan, Sheel Ganatra

arxiv:2406.05272 v2 · 2024-06-07 · math.SG · 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{IFAL342K6HJXBCUXR2MICFVPWP}

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	2026-07-05T09:36:41.470149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4140bdf34af1d3708a978e988116afb3fe39181ee11ee6971cd1c6c5f1e52e32

Aliases

arxiv: 2406.05272 · arxiv_version: 2406.05272v2 · doi: 10.48550/arxiv.2406.05272 · pith_short_12: IFAL342K6HJX · pith_short_16: IFAL342K6HJXBCUX · pith_short_8: IFAL342K

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/IFAL342K6HJXBCUXR2MICFVPWP \
  | 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: 4140bdf34af1d3708a978e988116afb3fe39181ee11ee6971cd1c6c5f1e52e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08591a80c75af93969b6bd8002c4942d771b2924a9cf2a01ce4823675bba5ffa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-06-07T21:50:38Z",
    "title_canon_sha256": "767c0ee97876691e5ea6c252688dd5720f2333be1d6039f68e7e0b504b275f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05272",
    "kind": "arxiv",
    "version": 2
  }
}