Pith Number

pith:5L4QNTAH

pith:2025:5L4QNTAHETUD65JV65BQVPFTPP

not attested not anchored not stored refs pending

From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds

Yassir Dinar

arxiv:2506.11569 v1 · 2025-06-13 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L4QNTAHETUD65JV65BQVPFTPP}

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	2026-07-05T11:21:06.955177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf906cc0724e83f7535f7430abcb37bdb6345dfb20bf57e521b56ceabdcd079

Aliases

arxiv: 2506.11569 · arxiv_version: 2506.11569v1 · doi: 10.48550/arxiv.2506.11569 · pith_short_12: 5L4QNTAHETUD · pith_short_16: 5L4QNTAHETUD65JV · pith_short_8: 5L4QNTAH

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/5L4QNTAHETUD65JV65BQVPFTPP \
  | 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: eaf906cc0724e83f7535f7430abcb37bdb6345dfb20bf57e521b56ceabdcd079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166875b22ec6366f9fc5b5a89057136050a136e0d2ffdb493320ad9a00afbbfb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-13T08:25:07Z",
    "title_canon_sha256": "bdf81078461943beb402bc09e717c199ca4b9a58307ac9daa887ab069a60717c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11569",
    "kind": "arxiv",
    "version": 1
  }
}