Pith Number

pith:B5VDR32D

pith:2012:B5VDR32DWFLTQYYDB34R34KGZY

not attested not anchored not stored refs pending

A Framework for Non-Asymptotic Quantum Information Theory

Marco Tomamichel

arxiv:1203.2142 v2 · 2012-03-09 · 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{B5VDR32DWFLTQYYDB34R34KGZY}

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

2 papers in Pith

Generalized Numerical Framework for Improved Finite-Sized Key Rates with R\'enyi Entropy

Rigorous Security Proofs for Practical Quantum Key Distribution

Receipt and verification

First computed	2026-05-18T02:21:17.158749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6a38ef43b1573863030ef91df146ce1a3cdc155eb0f4297b4658e373103d24

Aliases

arxiv: 1203.2142 · arxiv_version: 1203.2142v2 · doi: 10.48550/arxiv.1203.2142 · pith_short_12: B5VDR32DWFLT · pith_short_16: B5VDR32DWFLTQYYD · pith_short_8: B5VDR32D

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/B5VDR32DWFLTQYYDB34R34KGZY \
  | 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: 0f6a38ef43b1573863030ef91df146ce1a3cdc155eb0f4297b4658e373103d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084b7dcee8bbf5406d01a561fba1f046ca8ea301785015f161360c263af049db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-09T17:14:09Z",
    "title_canon_sha256": "40f324a8460316545bee03b380cc2f46d71c7653806670b3c77ab2a1bfd2256a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2142",
    "kind": "arxiv",
    "version": 2
  }
}