Pith Number

pith:W5D3LXGF

pith:2018:W5D3LXGFJ7OYU7VC4GRUE4FOHI

not attested not anchored not stored refs pending

Entropy distribution of localised states

Roberto Longo

arxiv:1809.03358 v2 · 2018-09-10 · hep-th · math-ph · math.MP · math.OA · 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{W5D3LXGFJ7OYU7VC4GRUE4FOHI}

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

No off-diagonal quantum focusing for R\'enyi divergences

Receipt and verification

First computed	2026-05-17T23:53:28.839922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b747b5dcc54fdd8a7ea2e1a34270ae3a1aced41f34e79ecbde6778aa6a892b5f

Aliases

arxiv: 1809.03358 · arxiv_version: 1809.03358v2 · doi: 10.48550/arxiv.1809.03358 · pith_short_12: W5D3LXGFJ7OY · pith_short_16: W5D3LXGFJ7OYU7VC · pith_short_8: W5D3LXGF

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/W5D3LXGFJ7OYU7VC4GRUE4FOHI \
  | 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: b747b5dcc54fdd8a7ea2e1a34270ae3a1aced41f34e79ecbde6778aa6a892b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628f0ba367a637b617212b28fffefd4b807a325e972454f13aaa936916ae5382",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-09-10T14:38:51Z",
    "title_canon_sha256": "734e813b4f5465c43c4d4931efe18f29bc3ccee7d313a67b906de507b8cc029c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03358",
    "kind": "arxiv",
    "version": 2
  }
}