Pith Number

pith:JYSM6GLG

pith:1994:JYSM6GLGI37FJNYO6ZNE6PS5XD

not attested not anchored not stored refs pending

Extensions and contractions of the Lie algebra of q-pseudodifferential symbols

Boris Khesin, Claude Roger, Volodymyr Lyubashenko

arxiv:hep-th/9403189 v4 · 1994-03-31 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYSM6GLGI37FJNYO6ZNE6PS5XD}

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	2026-07-04T15:09:38.822524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e24cf196646fe54b70ef65a4f3e5db8c824c5d0bb1a95929581f1e6580f3912

Aliases

arxiv: hep-th/9403189 · arxiv_version: hep-th/9403189v4 · doi: 10.48550/arxiv.hep-th/9403189 · pith_short_12: JYSM6GLGI37F · pith_short_16: JYSM6GLGI37FJNYO · pith_short_8: JYSM6GLG

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/JYSM6GLGI37FJNYO6ZNE6PS5XD \
  | 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: 4e24cf196646fe54b70ef65a4f3e5db8c824c5d0bb1a95929581f1e6580f3912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63bfe44b0b1a9a4f1f77a851d302665b0aecbba4011a44da1d9be965105d5b91",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-03-31T08:53:29Z",
    "title_canon_sha256": "418914c88a730ed4ca2e7ac09cc0b9b6ede53a8f0777f8b3ec124e40ea5f2428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9403189",
    "kind": "arxiv",
    "version": 4
  }
}