Pith Number

pith:PRLANR6O

pith:2011:PRLANR6OLWUKSSWN4YOKD2HIVR

not attested not anchored not stored refs pending

Equivalence of two orthogonalities between probability measures

Asuka Takatsu

arxiv:1110.3036 v1 · 2011-10-13 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRLANR6OLWUKSSWN4YOKD2HIVR}

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	2026-05-18T04:11:06.379241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5606c7ce5da8a94acde61ca1e8e8ac40f76b58107a278ae1ac995a13540c58

Aliases

arxiv: 1110.3036 · arxiv_version: 1110.3036v1 · doi: 10.48550/arxiv.1110.3036 · pith_short_12: PRLANR6OLWUK · pith_short_16: PRLANR6OLWUKSSWN · pith_short_8: PRLANR6O

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/PRLANR6OLWUKSSWN4YOKD2HIVR \
  | 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: 7c5606c7ce5da8a94acde61ca1e8e8ac40f76b58107a278ae1ac995a13540c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b83589aa991043d975818cf01497c7c5421c539c18ba160824989fb3461a6d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-13T19:37:55Z",
    "title_canon_sha256": "525195918f02a9d0079b8ce5240d0149cb5136a5f0b5e5753cbcbb9d890c4700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3036",
    "kind": "arxiv",
    "version": 1
  }
}