Pith Number

pith:QO3O5EMB

pith:1998:QO3O5EMBNFYIJZ3CW425Y6VLK2

not attested not anchored not stored refs pending

Alternative bi-Hamiltonian structures for WDVV equations of associativity

J. Kalayci, Y. Nutku

arxiv:hep-th/9810076 v1 · 1998-10-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO3O5EMBNFYIJZ3CW425Y6VLK2}

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	2026-05-18T01:05:55.192527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b6ee9181697084e762b735dc7aab569ef1141d62f6dd0963489ac3fffd9867

Aliases

arxiv: hep-th/9810076 · arxiv_version: hep-th/9810076v1 · doi: 10.48550/arxiv.hep-th/9810076 · pith_short_12: QO3O5EMBNFYI · pith_short_16: QO3O5EMBNFYIJZ3C · pith_short_8: QO3O5EMB

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/QO3O5EMBNFYIJZ3CW425Y6VLK2 \
  | 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: 83b6ee9181697084e762b735dc7aab569ef1141d62f6dd0963489ac3fffd9867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db0d185b34c00940554efc29c99777cc70f34d0ab600c284eb3de1fb7498a64",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-10-12T09:42:48Z",
    "title_canon_sha256": "a38a9926288172da38eabaf3fd1621a7f50e893589bd8d82757de74b799db9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9810076",
    "kind": "arxiv",
    "version": 1
  }
}