Pith Number

pith:WAZRB6HC

pith:2013:WAZRB6HCZ3YW2STZUUMNZJJDXA

not attested not anchored not stored refs pending

Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries

J. Batle

arxiv:1312.1854 v5 · 2013-12-06 · physics.class-ph · 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{WAZRB6HCZ3YW2STZUUMNZJJDXA}

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	2026-05-18T00:56:53.378605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03310f8e2cef16d4a79a518dca523b81c43aa1ec118bf1b1426b0b056949e6b

Aliases

arxiv: 1312.1854 · arxiv_version: 1312.1854v5 · doi: 10.48550/arxiv.1312.1854 · pith_short_12: WAZRB6HCZ3YW · pith_short_16: WAZRB6HCZ3YW2STZ · pith_short_8: WAZRB6HC

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/WAZRB6HCZ3YW2STZUUMNZJJDXA \
  | 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: b03310f8e2cef16d4a79a518dca523b81c43aa1ec118bf1b1426b0b056949e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba0f50ae1ba5f5efdf26dfd19a371222637e82f255a71014d00aea46d3a5a4b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2013-12-06T13:30:26Z",
    "title_canon_sha256": "668b25ccc1e568d745cb0fe0f7937cb29558f9fed35a1a35c6c8762a4b306560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1854",
    "kind": "arxiv",
    "version": 5
  }
}