Pith Number

pith:D7KHKU3W

pith:2022:D7KHKU3WAEOYJTQBGKZJOXWTER

not attested not anchored not stored refs pending

Open FJRW Theory and Mirror Symmetry

Mark Gross, Ran J. Tessler, Tyler L. Kelly

arxiv:2203.02435 v2 · 2022-03-04 · math.AG · math-ph · math.MP · 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{D7KHKU3WAEOYJTQBGKZJOXWTER}

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	2026-07-05T04:48:10.860435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd4755376011d84ce0132b2975ed3244cf848a9084f2191d9d3e6b075fd43b5

Aliases

arxiv: 2203.02435 · arxiv_version: 2203.02435v2 · doi: 10.48550/arxiv.2203.02435 · pith_short_12: D7KHKU3WAEOY · pith_short_16: D7KHKU3WAEOYJTQB · pith_short_8: D7KHKU3W

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/D7KHKU3WAEOYJTQBGKZJOXWTER \
  | 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: 1fd4755376011d84ce0132b2975ed3244cf848a9084f2191d9d3e6b075fd43b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b053fe6e8d748e9628f2ee37c72391f48c6ca24846088795ec543125c2f700e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-03-04T17:08:30Z",
    "title_canon_sha256": "b7da72bfb5f04cfaee6e553c791de621e9180535c25eaa4551fd0f1092465c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.02435",
    "kind": "arxiv",
    "version": 2
  }
}