Pith Number

pith:FC2HKNNT

pith:2018:FC2HKNNTYC7YBSPAZPEBOAKC6E

not attested not anchored not stored refs pending

From asymptotic hypothesis testing to entropy inequalities

Christoph Hirche

arxiv:1812.05142 v1 · 2018-12-12 · quant-ph · cs.IT · math-ph · math.IT · 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{FC2HKNNTYC7YBSPAZPEBOAKC6E}

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	2026-05-17T23:58:24.428286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b47535b3c0bf80c9e0cbc8170142f13e62ef3934227334523cb3f5e8cf85b2

Aliases

arxiv: 1812.05142 · arxiv_version: 1812.05142v1 · doi: 10.48550/arxiv.1812.05142 · pith_short_12: FC2HKNNTYC7Y · pith_short_16: FC2HKNNTYC7YBSPA · pith_short_8: FC2HKNNT

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/FC2HKNNTYC7YBSPAZPEBOAKC6E \
  | 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: 28b47535b3c0bf80c9e0cbc8170142f13e62ef3934227334523cb3f5e8cf85b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e92804cbb543452de86fe4e5e7cf24e5e917af8c84c98e3d1369ce953d7cb20",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-12-12T20:09:13Z",
    "title_canon_sha256": "ec174b929f18d6d41aca2154e65ee762c89e7bc5501f2856da8a32a9e2c5c6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05142",
    "kind": "arxiv",
    "version": 1
  }
}