Pith Number

pith:VSEXTBMQ

pith:2018:VSEXTBMQLLCR3X25CH2WY4CMUD

not attested not anchored not stored refs pending

Entropy of a quantum channel

Gilad Gour, Mark M. Wilde

arxiv:1808.06980 v3 · 2018-08-21 · quant-ph · cond-mat.stat-mech · cs.IT · hep-th · math-ph · math.IT · 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{VSEXTBMQLLCR3X25CH2WY4CMUD}

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.

Cited by

1 paper in Pith

Thermalization with partial information

Receipt and verification

First computed	2026-07-05T02:39:34.375089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac897985905ac51ddf5d11f56c704ca0c606b88f50ddb3da05f03457dde97a2e

Aliases

arxiv: 1808.06980 · arxiv_version: 1808.06980v3 · doi: 10.48550/arxiv.1808.06980 · pith_short_12: VSEXTBMQLLCR · pith_short_16: VSEXTBMQLLCR3X25 · pith_short_8: VSEXTBMQ

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/VSEXTBMQLLCR3X25CH2WY4CMUD \
  | 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: ac897985905ac51ddf5d11f56c704ca0c606b88f50ddb3da05f03457dde97a2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ab3b21e007e4552bd05424f8d18b1ee3f0616589b2deca3276f57e2700a270",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "hep-th",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-08-21T15:56:55Z",
    "title_canon_sha256": "67c7f657820e04f8a12506fda35fa13275cdcf02828bb99a3e41f6574574b49f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06980",
    "kind": "arxiv",
    "version": 3
  }
}