Pith Number

pith:72PR5X2R

pith:2013:72PR5X2RYPBUORIIKSMDFHWFTA

not attested not anchored not stored refs pending

Quantum fidelity and relative entropy between unitary orbits

Lin Zhang, Shao-Ming Fei

arxiv:1305.1472 v2 · 2013-05-07 · quant-ph · 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{72PR5X2RYPBUORIIKSMDFHWFTA}

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	2026-05-18T03:02:21.054735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9f1edf51c3c34745085498329ec59827a03799b697f4411e72622c09b336d5

Aliases

arxiv: 1305.1472 · arxiv_version: 1305.1472v2 · doi: 10.48550/arxiv.1305.1472 · pith_short_12: 72PR5X2RYPBU · pith_short_16: 72PR5X2RYPBUORII · pith_short_8: 72PR5X2R

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/72PR5X2RYPBUORIIKSMDFHWFTA \
  | 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: fe9f1edf51c3c34745085498329ec59827a03799b697f4411e72622c09b336d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc08bc8ab17a12bca7480aa37429e3c7772faf47075faa57bc61cf6dfd163b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-07T11:32:39Z",
    "title_canon_sha256": "dadd3a3b16b407fc791bfc835ab908325d7178f94f368da0e30e54c2498ab002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1472",
    "kind": "arxiv",
    "version": 2
  }
}