Pith Number

pith:MCQJBRCQ

pith:2011:MCQJBRCQIXBR2QKE23K7TEJRTF

not attested not anchored not stored refs pending

A Class of Infinite-dimensional Frobenius Manifolds and Their Submanifolds

Chao-Zhong Wu, Dingdian Xu

arxiv:1103.4048 v3 · 2011-03-21 · math-ph · math.DG · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCQJBRCQIXBR2QKE23K7TEJRTF}

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	2026-05-18T03:26:32.703763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a090c45045c31d4144d6d5f99131996f63ed3d0677df32925509d737d8bf4a

Aliases

arxiv: 1103.4048 · arxiv_version: 1103.4048v3 · doi: 10.48550/arxiv.1103.4048 · pith_short_12: MCQJBRCQIXBR · pith_short_16: MCQJBRCQIXBR2QKE · pith_short_8: MCQJBRCQ

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/MCQJBRCQIXBR2QKE23K7TEJRTF \
  | 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: 60a090c45045c31d4144d6d5f99131996f63ed3d0677df32925509d737d8bf4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd29f5dcfca339c874a21b77e9dd8ab259b070a0cf172d34100712b2b8202eaf",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-21T15:24:12Z",
    "title_canon_sha256": "63af9ca3cf59780d47366cf74d773516c336b7c06eed6010d242efdfde2c3a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4048",
    "kind": "arxiv",
    "version": 3
  }
}