Pith Number

pith:ZWXYHQ2P

pith:2014:ZWXYHQ2PPUFOMUVYHYGK54O5CZ

not attested not anchored not stored refs pending

On channels with positive quantum zero-error capacity having vanishing n-shot capacity

M.E. Shirokov

arxiv:1407.8524 v5 · 2014-07-31 · quant-ph · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWXYHQ2PPUFOMUVYHYGK54O5CZ}

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	2026-05-18T01:36:11.283656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdaf83c34f7d0ae652b83e0caef1dd164fb00691d03a9b48a468593246225c07

Aliases

arxiv: 1407.8524 · arxiv_version: 1407.8524v5 · doi: 10.48550/arxiv.1407.8524 · pith_short_12: ZWXYHQ2PPUFO · pith_short_16: ZWXYHQ2PPUFOMUVY · pith_short_8: ZWXYHQ2P

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/ZWXYHQ2PPUFOMUVYHYGK54O5CZ \
  | 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: cdaf83c34f7d0ae652b83e0caef1dd164fb00691d03a9b48a468593246225c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a4c183fa9c144a33eab601d81ac626a9210c92e4855f83a0d86344bde00021",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-31T18:53:32Z",
    "title_canon_sha256": "95a9acf651e676953ea573ac4ac99668ecb6142b314c1b03756f2ff92bbf20c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8524",
    "kind": "arxiv",
    "version": 5
  }
}