Pith Number

pith:JQZLKT6Q

pith:1997:JQZLKT6Q3AZU2FL4JIPIXOITWY

not attested not anchored not stored refs pending

Harmonic Oscillator Lie Bialgebras and their Quantization

Angel Ballesteros, Francisco J. Herranz

arxiv:q-alg/9701027 v1 · 1997-01-27 · q-alg · 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{JQZLKT6Q3AZU2FL4JIPIXOITWY}

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	2026-05-18T00:46:21.496423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c32b54fd0d8334d157c4a1e8bb913b611d902b21947e2ce8a2f8adc74905982

Aliases

arxiv: q-alg/9701027 · arxiv_version: q-alg/9701027v1 · doi: 10.48550/arxiv.q-alg/9701027 · pith_short_12: JQZLKT6Q3AZU · pith_short_16: JQZLKT6Q3AZU2FL4 · pith_short_8: JQZLKT6Q

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/JQZLKT6Q3AZU2FL4JIPIXOITWY \
  | 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: 4c32b54fd0d8334d157c4a1e8bb913b611d902b21947e2ce8a2f8adc74905982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dda5518808a95568581e7df5d6a4a10b22d626fe8db2a5ea1d3cc94327eeb07",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-01-27T19:12:16Z",
    "title_canon_sha256": "4a05025dfbe4a63bfe9518d59d35df37c8280e88c2d7574796ee0352a8d243c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9701027",
    "kind": "arxiv",
    "version": 1
  }
}