Pith Number

pith:2X65LVM4

pith:2011:2X65LVM4VF2Y53EI2LXHJKRBW7

not attested not anchored not stored refs pending

Security Significance of the Trace Distance Criterion in Quantum Key Distribution

Horace P. Yuen

arxiv:1109.2675 v3 · 2011-09-13 · 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{2X65LVM4VF2Y53EI2LXHJKRBW7}

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	2026-05-18T04:08:44.382791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5fdd5d59ca9758eec88d2ee74aa21b7ed538dfd56df48c382c9f7b7d1f21d0e

Aliases

arxiv: 1109.2675 · arxiv_version: 1109.2675v3 · doi: 10.48550/arxiv.1109.2675 · pith_short_12: 2X65LVM4VF2Y · pith_short_16: 2X65LVM4VF2Y53EI · pith_short_8: 2X65LVM4

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/2X65LVM4VF2Y53EI2LXHJKRBW7 \
  | 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: d5fdd5d59ca9758eec88d2ee74aa21b7ed538dfd56df48c382c9f7b7d1f21d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb1833f6b0d0383507183c5a2329bd9e95472575c6e23ba01829bdfb22083ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-13T04:31:58Z",
    "title_canon_sha256": "33a166f25a6bad0480edde9c4e189acf707854b80d108add29de7a0134ad3f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2675",
    "kind": "arxiv",
    "version": 3
  }
}