Pith Number

pith:PDXBJTWU

pith:2012:PDXBJTWUTSMOSZFKBYOPNCHD6G

not attested not anchored not stored refs pending

Operator Connections and Borel Measures on the Unit Interval

Pattrawut Chansangiam, Wicharn Lewkeeratiyutkul

arxiv:1211.1465 v1 · 2012-11-07 · 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{PDXBJTWUTSMOSZFKBYOPNCHD6G}

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	2026-05-18T03:41:20.914459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ee14ced49c98e964aa0e1cf688e3f18df4eb2878270e9528e04bd62115f69d

Aliases

arxiv: 1211.1465 · arxiv_version: 1211.1465v1 · doi: 10.48550/arxiv.1211.1465 · pith_short_12: PDXBJTWUTSMO · pith_short_16: PDXBJTWUTSMOSZFK · pith_short_8: PDXBJTWU

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/PDXBJTWUTSMOSZFKBYOPNCHD6G \
  | 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: 78ee14ced49c98e964aa0e1cf688e3f18df4eb2878270e9528e04bd62115f69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4259882d0816cabd31a9c31a417435c3f1a9dd574e7e742d539f032e42c1a474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-07T06:49:26Z",
    "title_canon_sha256": "234ff93efa961e6ec788455b0a316952d35650550b219c8ae0bf0e68c97712ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1465",
    "kind": "arxiv",
    "version": 1
  }
}