Pith Number

pith:NEXZ4VLJ

pith:2009:NEXZ4VLJYYPWZ2P3FOED7N2CCD

not attested not anchored not stored refs pending

Calculation of Atomic Number States: a Bethe Ansatz Approach

Mark G. Raizen, Qian Niu, Shou-Pu Wan

arxiv:0906.2123 v1 · 2009-06-11 · 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{NEXZ4VLJYYPWZ2P3FOED7N2CCD}

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	2026-05-18T02:13:20.729462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

692f9e5569c61f6ce9fb2b883fb74210cfc9fd6b9194f521353fa5dad73aca6d

Aliases

arxiv: 0906.2123 · arxiv_version: 0906.2123v1 · doi: 10.48550/arxiv.0906.2123 · pith_short_12: NEXZ4VLJYYPW · pith_short_16: NEXZ4VLJYYPWZ2P3 · pith_short_8: NEXZ4VLJ

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/NEXZ4VLJYYPWZ2P3FOED7N2CCD \
  | 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: 692f9e5569c61f6ce9fb2b883fb74210cfc9fd6b9194f521353fa5dad73aca6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53952a22a1484c936d31afe7ec9d952dde78600bcd2d67acdd982ef05233adde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-06-11T15:06:56Z",
    "title_canon_sha256": "043bbb66469de25aad7453654c55ce8ef9a977bed2618188f32570e3f76d24c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2123",
    "kind": "arxiv",
    "version": 1
  }
}