Pith Number

pith:OOHGU622

pith:2013:OOHGU622QLJQO4VIZMW45A5OMY

not attested not anchored not stored refs pending

The complete characterization of a.s. convergence of orthogonal series

Witold Bednorz

arxiv:1303.4547 v1 · 2013-03-19 · 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{OOHGU622QLJQO4VIZMW45A5OMY}

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	2026-05-18T03:30:26.848999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738e6a7b5a82d30772a8cb2dce83ae662918d70f50f59ad74e41269ffb7abb0d

Aliases

arxiv: 1303.4547 · arxiv_version: 1303.4547v1 · doi: 10.48550/arxiv.1303.4547 · pith_short_12: OOHGU622QLJQ · pith_short_16: OOHGU622QLJQO4VI · pith_short_8: OOHGU622

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/OOHGU622QLJQO4VIZMW45A5OMY \
  | 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: 738e6a7b5a82d30772a8cb2dce83ae662918d70f50f59ad74e41269ffb7abb0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff695b25bbd1bb11e38226b8cb00469253eac1d57ea99e86bbef7d16bbd60b59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-19T10:59:09Z",
    "title_canon_sha256": "7b6b380b1c56360659a096e825c072de2555baf653e8d21bec5d8a00f67ede26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4547",
    "kind": "arxiv",
    "version": 1
  }
}