Pith Number

pith:IT76KXW3

pith:2016:IT76KXW33PKIWJWYCM5XHA2FLM

not attested not anchored not stored refs pending

Conditional Mutual Information of Bipartite Unitaries and Scrambling

Dawei Ding, Michael Walter, Patrick Hayden

arxiv:1608.04750 v3 · 2016-08-16 · quant-ph · hep-th · 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{IT76KXW33PKIWJWYCM5XHA2FLM}

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	2026-05-18T00:52:15.120146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ffe55edbdbd48b26d8133b7383455b159f1fd40c6b3ff6e92ece1b502004d7

Aliases

arxiv: 1608.04750 · arxiv_version: 1608.04750v3 · doi: 10.48550/arxiv.1608.04750 · pith_short_12: IT76KXW33PKI · pith_short_16: IT76KXW33PKIWJWY · pith_short_8: IT76KXW3

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/IT76KXW33PKIWJWYCM5XHA2FLM \
  | 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: 44ffe55edbdbd48b26d8133b7383455b159f1fd40c6b3ff6e92ece1b502004d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f03b96813ab8bd175fc8dddd49fa487898e352f738a65a1ebf38459f5b6351",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-16T20:00:09Z",
    "title_canon_sha256": "a207bcbc7596d220d3e0e0be9702ab2ac80755a3a1dfd352fac92681e5b39bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04750",
    "kind": "arxiv",
    "version": 3
  }
}