Pith Number

pith:7VMDHSY7

pith:1999:7VMDHSY7UZZTJAWRAI2MBIK6OI

not attested not anchored not stored refs pending

Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)

A.J. Macfarlane, F. Wagner

arxiv:solv-int/9910003 v1 · 1999-10-13 · solv-int · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VMDHSY7UZZTJAWRAI2MBIK6OI}

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	2026-05-18T01:04:59.893245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b

Aliases

arxiv: solv-int/9910003 · arxiv_version: solv-int/9910003v1 · doi: 10.48550/arxiv.solv-int/9910003 · pith_short_12: 7VMDHSY7UZZT · pith_short_16: 7VMDHSY7UZZTJAWR · pith_short_8: 7VMDHSY7

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/7VMDHSY7UZZTJAWRAI2MBIK6OI \
  | 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: fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c38b4a0455398dc943d43ab1113015f78db761d6415cee9311b39aceda1832",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "solv-int",
    "submitted_at": "1999-10-13T10:48:37Z",
    "title_canon_sha256": "b2a7ead5594e110e9d985f4a4ca13bf0b7bb595a4a5e8a25a70a7d6d572beb3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "solv-int/9910003",
    "kind": "arxiv",
    "version": 1
  }
}