Pith Number

pith:TWKMTU7F

pith:2013:TWKMTU7FM2GFMDJXOJ65GVGCJZ

not attested not anchored not stored refs pending

Unified-entropy trade-off relations for a single quantum channel

Alexey E. Rastegin

arxiv:1302.4525 v2 · 2013-02-19 · quant-ph · 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{TWKMTU7FM2GFMDJXOJ65GVGCJZ}

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	2026-05-18T03:17:56.778529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d94c9d3e5668c560d37727dd354c24e73e368aa5eefba8664ba5d645a682b3b

Aliases

arxiv: 1302.4525 · arxiv_version: 1302.4525v2 · doi: 10.48550/arxiv.1302.4525 · pith_short_12: TWKMTU7FM2GF · pith_short_16: TWKMTU7FM2GFMDJX · pith_short_8: TWKMTU7F

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/TWKMTU7FM2GFMDJXOJ65GVGCJZ \
  | 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: 9d94c9d3e5668c560d37727dd354c24e73e368aa5eefba8664ba5d645a682b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f1a60e7b2910887689869f4ed74a6d515d8b700255615e228ef52fd7156e68",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-19T06:22:08Z",
    "title_canon_sha256": "139cf3e499af06bd1de3a085d25bffbbb8db42297db216c6735f21f905562b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4525",
    "kind": "arxiv",
    "version": 2
  }
}