pith. sign in
Pith Number

pith:QK4LVWVT

pith:2015:QK4LVWVTLVNS33I6UZBVFAGRJB
not attested not anchored not stored refs pending

Trace-distance measure of coherence

Maciej Lewenstein, Preeti Parashar, Swapan Rana

arxiv:1511.01854 v2 · 2015-11-05 · quant-ph · cs.IT · math.IT · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QK4LVWVTLVNS33I6UZBVFAGRJB}

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 2026-05-18T01:22:14.022284Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82b8badab35d5b2ded1ea6435280d1484a7350f15493685c2b4d50ff3a0447b7

Aliases

arxiv: 1511.01854 · arxiv_version: 1511.01854v2 · doi: 10.48550/arxiv.1511.01854 · pith_short_12: QK4LVWVTLVNS · pith_short_16: QK4LVWVTLVNS33I6 · pith_short_8: QK4LVWVT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QK4LVWVTLVNS33I6UZBVFAGRJB \
  | 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: 82b8badab35d5b2ded1ea6435280d1484a7350f15493685c2b4d50ff3a0447b7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0784e14c1164e981560e7c9aebd201b3f70167dfe017a00a14f3ca94297ce98",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-05T19:10:33Z",
    "title_canon_sha256": "5fe29b3d54f21cd577e7e04b19dc9ca19c199cdf5ec1bb1813bb860dc3ef2dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01854",
    "kind": "arxiv",
    "version": 2
  }
}