Pith Number

pith:65MHQLDZ

pith:2012:65MHQLDZQDCO2PB65RMJRQ2VEE

not attested not anchored not stored refs pending

Entropy of Quantum States: Ambiguities

A. P. Balachandran, A. R. de Queiroz, S. Vaidya

arxiv:1212.1239 v1 · 2012-12-06 · hep-th · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65MHQLDZQDCO2PB65RMJRQ2VEE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:38:55.332923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f758782c7980c4ed3c3eec5898c355210494d870eb39bcae00a7da8a88188be7

Aliases

arxiv: 1212.1239 · arxiv_version: 1212.1239v1 · doi: 10.48550/arxiv.1212.1239 · pith_short_12: 65MHQLDZQDCO · pith_short_16: 65MHQLDZQDCO2PB6 · pith_short_8: 65MHQLDZ

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/65MHQLDZQDCO2PB65RMJRQ2VEE \
  | 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: f758782c7980c4ed3c3eec5898c355210494d870eb39bcae00a7da8a88188be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa57886ef4f88c347945e1618c0f9d0298287a357bd71a6979c8c1a647653bfa",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-06T05:54:53Z",
    "title_canon_sha256": "67443e8515c578b75f9d46da1c035e87dae3209047bfadfe83622bb098470775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1239",
    "kind": "arxiv",
    "version": 1
  }
}