Pith Number

pith:IW7276TC

pith:2014:IW7276TC5TEL2SXDK5H5TJIJUX

not attested not anchored not stored refs pending

An elementary proof of the decomposition of measures on the circle group

Przemys{\l}aw Ohrysko

arxiv:1411.6982 v1 · 2014-11-25 · 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{IW7276TC5TEL2SXDK5H5TJIJUX}

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	2026-05-18T00:44:28.658860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45bfaffa62ecc8bd4ae3574fd9a509a5c112e1959ba188e53bf60182afd58e28

Aliases

arxiv: 1411.6982 · arxiv_version: 1411.6982v1 · doi: 10.48550/arxiv.1411.6982 · pith_short_12: IW7276TC5TEL · pith_short_16: IW7276TC5TEL2SXD · pith_short_8: IW7276TC

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/IW7276TC5TEL2SXDK5H5TJIJUX \
  | 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: 45bfaffa62ecc8bd4ae3574fd9a509a5c112e1959ba188e53bf60182afd58e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db522837f4da0e5f517676eafeacd29b9b6b9bcb4471368769f2a092e52a54f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-25T19:38:13Z",
    "title_canon_sha256": "b098c8c1c81a78228e2253a39911a39f2be739397b403b121e1ccfb182a8e1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6982",
    "kind": "arxiv",
    "version": 1
  }
}