Pith Number

pith:CRU47JHZ

pith:2011:CRU47JHZYA3UFCHXF5SIFEYZVU

not attested not anchored not stored refs pending

Discreteness of the volume of space from Bohr-Sommerfeld quantization

Eugenio Bianchi, Hal M. Haggard

arxiv:1102.5439 v2 · 2011-02-26 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRU47JHZYA3UFCHXF5SIFEYZVU}

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.

Cited by

1 paper in Pith

Typical entanglement entropy with charge conservation

Receipt and verification

First computed	2026-05-18T04:16:43.528559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1469cfa4f9c0374288f72f64829319ad055e28641ea34f931d11e56c881643db

Aliases

arxiv: 1102.5439 · arxiv_version: 1102.5439v2 · doi: 10.48550/arxiv.1102.5439 · pith_short_12: CRU47JHZYA3U · pith_short_16: CRU47JHZYA3UFCHX · pith_short_8: CRU47JHZ

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/CRU47JHZYA3UFCHXF5SIFEYZVU \
  | 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: 1469cfa4f9c0374288f72f64829319ad055e28641ea34f931d11e56c881643db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805960f24b62266100c50e1301d0f079e1f087f5808bd7765fd7eaa183edf99d",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-26T19:33:24Z",
    "title_canon_sha256": "95a55588bef43909423fc625c7e23236ee9a0eec7742cd70d89009d5ac91a967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5439",
    "kind": "arxiv",
    "version": 2
  }
}