Pith Number

pith:M7D67AKL

pith:1996:M7D67AKLGEFXTP7XIW26MB6RXJ

not attested not anchored not stored refs pending

Isospectral Hamiltonians and $W_{1+\infty}$ algebra

H.-T. Sato, N. Aizawa

arxiv:quant-ph/9601026 v2 · 1996-01-26 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7D67AKLGEFXTP7XIW26MB6RXJ}

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	2026-07-04T16:02:38.916660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c7ef814b310b79bff745b5e607d1ba5e94c280ff018637ab4b0e7f8ce5750f

Aliases

arxiv: quant-ph/9601026 · arxiv_version: quant-ph/9601026v2 · doi: 10.48550/arxiv.quant-ph/9601026 · pith_short_12: M7D67AKLGEFX · pith_short_16: M7D67AKLGEFXTP7X · pith_short_8: M7D67AKL

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/M7D67AKLGEFXTP7XIW26MB6RXJ \
  | 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: 67c7ef814b310b79bff745b5e607d1ba5e94c280ff018637ab4b0e7f8ce5750f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fd6d49622c8fab37f0a7157c6f98a542c2426c65bdc494a39a2289c718b5be",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-01-26T09:59:04Z",
    "title_canon_sha256": "534aa27b83265c244b5abc5f9d0d79d493a3a5343a4d5ff5a15a74c3912bc43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9601026",
    "kind": "arxiv",
    "version": 2
  }
}