Pith Number

pith:WZ5LPC32

pith:2009:WZ5LPC32I2YZMAY2YQR6AOVMSQ

not attested not anchored not stored refs pending

Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems

Boris Dubrovin, Guido Carlet, Luca Philippe Mertens

arxiv:0902.1245 v2 · 2009-02-09 · math-ph · math.DG · 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{WZ5LPC32I2YZMAY2YQR6AOVMSQ}

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	2026-05-18T01:24:37.226242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67ab78b7a46b196031ac423e03aac9429eedea9be760889a03e0598e6484415

Aliases

arxiv: 0902.1245 · arxiv_version: 0902.1245v2 · doi: 10.48550/arxiv.0902.1245 · pith_short_12: WZ5LPC32I2YZ · pith_short_16: WZ5LPC32I2YZMAY2 · pith_short_8: WZ5LPC32

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/WZ5LPC32I2YZMAY2YQR6AOVMSQ \
  | 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: b67ab78b7a46b196031ac423e03aac9429eedea9be760889a03e0598e6484415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1822fad3415aaf5cb6c99adbd632fc0bb26dfa7d1ba58af6da177e94db5e53c",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-09T16:15:39Z",
    "title_canon_sha256": "f307e0ec49abe653ad5073a217affd0eddca899d6751335244332ce6e1e43e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1245",
    "kind": "arxiv",
    "version": 2
  }
}