Pith Number

pith:C2LGJK7E

pith:2012:C2LGJK7ECCMBJBYBZK2MBS5BZB

not attested not anchored not stored refs pending

Generalized uncertainty relation associated with a monotone or anti-monotone pair skew information

Kenjiro Yanagi, Satoshi Kajihara

arxiv:1201.4634 v1 · 2012-01-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2LGJK7ECCMBJBYBZK2MBS5BZB}

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	2026-05-18T04:04:05.547180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169664abe41098148701cab4c0cba1c85d3b6b60532c94848e8248964d226946

Aliases

arxiv: 1201.4634 · arxiv_version: 1201.4634v1 · doi: 10.48550/arxiv.1201.4634 · pith_short_12: C2LGJK7ECCMB · pith_short_16: C2LGJK7ECCMBJBYB · pith_short_8: C2LGJK7E

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/C2LGJK7ECCMBJBYBZK2MBS5BZB \
  | 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: 169664abe41098148701cab4c0cba1c85d3b6b60532c94848e8248964d226946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c8bda328dcf4251953e019ac0b6f139815deddc0f7d370060bf6d2acf53ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-23T07:09:19Z",
    "title_canon_sha256": "806d79da3dee53af4981edd514a78511bc54dbff7cc8c1a334bf511103b266ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4634",
    "kind": "arxiv",
    "version": 1
  }
}