Pith Number

pith:VNNMEDLP

pith:1997:VNNMEDLPWPUZUWWP72WVHO7ROI

not attested not anchored not stored refs pending

Lie-Nambu and beyond

Marek Czachor

arxiv:quant-ph/9711054 v1 · 1997-11-22 · 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{VNNMEDLPWPUZUWWP72WVHO7ROI}

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	2026-05-18T02:35:06.626517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5ac20d6fb3e99a5acffead53bbf1723bbf20b84c39ae5c5d639aba2aeeafc6

Aliases

arxiv: quant-ph/9711054 · arxiv_version: quant-ph/9711054v1 · doi: 10.48550/arxiv.quant-ph/9711054 · pith_short_12: VNNMEDLPWPUZ · pith_short_16: VNNMEDLPWPUZUWWP · pith_short_8: VNNMEDLP

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/VNNMEDLPWPUZUWWP72WVHO7ROI \
  | 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: ab5ac20d6fb3e99a5acffead53bbf1723bbf20b84c39ae5c5d639aba2aeeafc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f266f0743ae804bc4ba9061f08dacca89366176c946adc672a7ba77d067e8638",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-11-22T11:05:45Z",
    "title_canon_sha256": "73e67deae91e72b239200bc1c5e1a8a3c100ecb43ce7d341d79e3e4d50d3e8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9711054",
    "kind": "arxiv",
    "version": 1
  }
}