Pith Number

pith:EH4PIZTR

pith:2014:EH4PIZTRPJW33WV5FIM2JA5R6B

not attested not anchored not stored refs pending

A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy

Junde Wu, Kaifeng Bu, Lin Zhang

arxiv:1409.3688 v3 · 2014-09-12 · 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{EH4PIZTRPJW33WV5FIM2JA5R6B}

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	2026-05-18T01:17:47.255845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f8f466717a6dbddabd2a19a483b1f06bb2a7a05906dd0f8628b21597ad24c2

Aliases

arxiv: 1409.3688 · arxiv_version: 1409.3688v3 · doi: 10.48550/arxiv.1409.3688 · pith_short_12: EH4PIZTRPJW3 · pith_short_16: EH4PIZTRPJW33WV5 · pith_short_8: EH4PIZTR

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/EH4PIZTRPJW33WV5FIM2JA5R6B \
  | 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: 21f8f466717a6dbddabd2a19a483b1f06bb2a7a05906dd0f8628b21597ad24c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b349c279f99cc3fd7774ab28f0045c23c94d73756091cdb0f6f868fbd4407b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-12T09:30:51Z",
    "title_canon_sha256": "2f3cb3002edbdfb1af0124d74ac682a6391f87f260ea160a6f3684e0d0effdd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3688",
    "kind": "arxiv",
    "version": 3
  }
}