Pith Number

pith:BBQHPQDA

pith:2010:BBQHPQDAPANNGNVETH7SSINHYM

not attested not anchored not stored refs pending

The Inversion Symmetry of the WDVV Equations and Tau Functions

Dingdian Xu, Si-Qi Liu, Youjin Zhang

arxiv:1012.5708 v2 · 2010-12-28 · math.DG · 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{BBQHPQDAPANNGNVETH7SSINHYM}

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	2026-05-18T03:26:32.721855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086077c060781ad336a499ff2921a7c322efe8e18512da7f99fe6babb09c5efb

Aliases

arxiv: 1012.5708 · arxiv_version: 1012.5708v2 · doi: 10.48550/arxiv.1012.5708 · pith_short_12: BBQHPQDAPANN · pith_short_16: BBQHPQDAPANNGNVE · pith_short_8: BBQHPQDA

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/BBQHPQDAPANNGNVETH7SSINHYM \
  | 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: 086077c060781ad336a499ff2921a7c322efe8e18512da7f99fe6babb09c5efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e39693bde055fcb83ff7dfd30a8ffe01bbb895ecf56b3e1446b47918128b944",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-28T07:36:53Z",
    "title_canon_sha256": "efed53920e108550da340b6c1940651ec8e05ee04f208d90750f8d9196757691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5708",
    "kind": "arxiv",
    "version": 2
  }
}