Pith Number

pith:UNWZ3AUF

pith:2000:UNWZ3AUF3KPYTYE3Z6BZY77H4K

not attested not anchored not stored refs pending

The Bargmann representation for the quantum mechanics on a sphere

J. Rembielinski, K. Kowalski

arxiv:quant-ph/0011070 v1 · 2000-11-16 · 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{UNWZ3AUF3KPYTYE3Z6BZY77H4K}

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	2026-05-18T01:38:02.945094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a36d9d8285da9f89e09bcf839c7fe7e28cb764958d23d54c9210218c9ce02a12

Aliases

arxiv: quant-ph/0011070 · arxiv_version: quant-ph/0011070v1 · doi: 10.48550/arxiv.quant-ph/0011070 · pith_short_12: UNWZ3AUF3KPY · pith_short_16: UNWZ3AUF3KPYTYE3 · pith_short_8: UNWZ3AUF

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/UNWZ3AUF3KPYTYE3Z6BZY77H4K \
  | 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: a36d9d8285da9f89e09bcf839c7fe7e28cb764958d23d54c9210218c9ce02a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d68d8778464bcaec5128fa6113b1d0a71b508a144c2a90f47ccb8c8f823c558",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-11-16T08:07:38Z",
    "title_canon_sha256": "901797dbb9c7a36d085a2661054c321c16956ae29c60c43363068b0a4cefb0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0011070",
    "kind": "arxiv",
    "version": 1
  }
}