Pith Number

pith:FZBGJVYS

pith:2012:FZBGJVYSEZH4LK2VRBLAXV2AR3

not attested not anchored not stored refs pending

1, 2, and 6 qubits, and the Ramanujan-Nagell theorem

A. R. P. Rau, Yaroslav Pavlyukh

arxiv:1212.2378 v1 · 2012-12-11 · math-ph · math.MP · 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{FZBGJVYSEZH4LK2VRBLAXV2AR3}

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	2026-05-18T03:38:45.083084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4264d712264fc5ab5588560bd7408ed34291327d9e55b4b1b3376ba0f6ce00

Aliases

arxiv: 1212.2378 · arxiv_version: 1212.2378v1 · doi: 10.48550/arxiv.1212.2378 · pith_short_12: FZBGJVYSEZH4 · pith_short_16: FZBGJVYSEZH4LK2V · pith_short_8: FZBGJVYS

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/FZBGJVYSEZH4LK2VRBLAXV2AR3 \
  | 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: 2e4264d712264fc5ab5588560bd7408ed34291327d9e55b4b1b3376ba0f6ce00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5cd4e17badd2a0e3a68cb89f1a36d1e95a2fb0b4ec166bef115b684dbd5bb7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-11T10:45:56Z",
    "title_canon_sha256": "66b1454685602c6b2997307652cef4e4f98c9e8446f9a36725a468eedec7a3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2378",
    "kind": "arxiv",
    "version": 1
  }
}