Pith Number

pith:63OT4JTF

pith:2012:63OT4JTFHSJTWWB5N5YI5BNISX

not attested not anchored not stored refs pending

A characterization for the boundedness of positive operators in a filtered measure space

Hitosh Tanaka, Yutaka Terasawa

arxiv:1210.3924 v1 · 2012-10-15 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63OT4JTFHSJTWWB5N5YI5BNISX}

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	2026-05-18T03:43:16.746555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6dd3e26653c933b583d6f708e85a895cd81285a829ec4df0d5567d22a4aaea5

Aliases

arxiv: 1210.3924 · arxiv_version: 1210.3924v1 · doi: 10.48550/arxiv.1210.3924 · pith_short_12: 63OT4JTFHSJT · pith_short_16: 63OT4JTFHSJTWWB5 · pith_short_8: 63OT4JTF

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/63OT4JTFHSJTWWB5N5YI5BNISX \
  | 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: f6dd3e26653c933b583d6f708e85a895cd81285a829ec4df0d5567d22a4aaea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0959037a1a5af8becbcac1ed600edbaaa709f451b53fa51bca4b8343eaec4ec8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-15T07:25:59Z",
    "title_canon_sha256": "8066130614756fdc100a341515931fc271f5a0eaa6c519ff517ab255884ba2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3924",
    "kind": "arxiv",
    "version": 1
  }
}