Pith Number

pith:R23EY2HL

pith:2018:R23EY2HLWILE33VCHQ2ZJA7J5S

not attested not anchored not stored refs pending

On F-Algebroids and Dubrovin's Duality

Alexander Torres-Gomez, John Alexander Cruz Morales

arxiv:1805.08086 v2 · 2018-05-21 · math.DG · 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{R23EY2HLWILE33VCHQ2ZJA7J5S}

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	2026-05-17T23:49:05.695797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb64c68ebb2164deea23c359483e9ec8ace65e951361521c60a065e8ce8747f

Aliases

arxiv: 1805.08086 · arxiv_version: 1805.08086v2 · doi: 10.48550/arxiv.1805.08086 · pith_short_12: R23EY2HLWILE · pith_short_16: R23EY2HLWILE33VC · pith_short_8: R23EY2HL

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/R23EY2HLWILE33VCHQ2ZJA7J5S \
  | 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: 8eb64c68ebb2164deea23c359483e9ec8ace65e951361521c60a065e8ce8747f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77db60261e0c3d3167a978b09adf610b22f49f5dc3fb6b3b50e9a062790d20b8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-21T14:21:54Z",
    "title_canon_sha256": "d2d321f67baf4256840e5895fce1e97852eb73e4233d338c656eacb3dd1e52c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08086",
    "kind": "arxiv",
    "version": 2
  }
}