Pith Number

pith:GKVRN6MW

pith:2012:GKVRN6MW2Y3X342JVNTVWHJDFC

not attested not anchored not stored refs pending

Finite blocklength converse bounds for quantum channels

Stephanie Wehner, William Matthews

arxiv:1210.4722 v2 · 2012-10-17 · 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{GKVRN6MW2Y3X342JVNTVWHJDFC}

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	2026-05-18T01:23:33.859883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ab16f996d6377df349ab675b1d2328898eeff5cdfca3ee777c4dbf74489619

Aliases

arxiv: 1210.4722 · arxiv_version: 1210.4722v2 · doi: 10.48550/arxiv.1210.4722 · pith_short_12: GKVRN6MW2Y3X · pith_short_16: GKVRN6MW2Y3X342J · pith_short_8: GKVRN6MW

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/GKVRN6MW2Y3X342JVNTVWHJDFC \
  | 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: 32ab16f996d6377df349ab675b1d2328898eeff5cdfca3ee777c4dbf74489619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe92436be2f9e53a1bda453fedb2e62e9203763edf8c384fb5d76453eb13438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-17T12:47:30Z",
    "title_canon_sha256": "194348d011913410c8e35e29affb8630cf32983fe6491705ff1071a958fc145e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4722",
    "kind": "arxiv",
    "version": 2
  }
}