Pith Number

pith:O7N554DQ

pith:2005:O7N554DQQ42CYMGPCKUZLIJJIN

not attested not anchored not stored refs pending

Symmetries of WDVV equations

Albert Schwarz, Maxim Kontsevich, Yujun Chen

arxiv:hep-th/0508221 v1 · 2005-08-30 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7N554DQQ42CYMGPCKUZLIJJIN}

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	2026-07-04T16:56:18.850360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77dbdef07087342c30cf12a995a129434bbde6b09cd5090a634055465257ec89

Aliases

arxiv: hep-th/0508221 · arxiv_version: hep-th/0508221v1 · doi: 10.48550/arxiv.hep-th/0508221 · pith_short_12: O7N554DQQ42C · pith_short_16: O7N554DQQ42CYMGP · pith_short_8: O7N554DQ

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/O7N554DQQ42CYMGPCKUZLIJJIN \
  | 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: 77dbdef07087342c30cf12a995a129434bbde6b09cd5090a634055465257ec89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa731d42152c6410ddf2c80bdbdb11e30b317a3d48ac1d9fdde75c583884d3a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-08-30T03:13:00Z",
    "title_canon_sha256": "0019be6f7d4fe3d7376eb85fdde2a26eca50abc2e48810537a1e320d471007b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0508221",
    "kind": "arxiv",
    "version": 1
  }
}