Pith Number

pith:P466IKPN

pith:2010:P466IKPNDSWLDSIDI2DK2LYBSD

not attested not anchored not stored refs pending

A thin-thick Decomposition for Hardy Martingales

Paul F. X. Mueller

arxiv:1009.3629 v1 · 2010-09-19 · 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{P466IKPNDSWLDSIDI2DK2LYBSD}

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	2026-05-18T04:40:44.376501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3de429ed1cacb1c9034686ad2f0190d8a41db0d292b49c26d9f4ab2dc1af07

Aliases

arxiv: 1009.3629 · arxiv_version: 1009.3629v1 · doi: 10.48550/arxiv.1009.3629 · pith_short_12: P466IKPNDSWL · pith_short_16: P466IKPNDSWLDSID · pith_short_8: P466IKPN

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/P466IKPNDSWLDSIDI2DK2LYBSD \
  | 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: 7f3de429ed1cacb1c9034686ad2f0190d8a41db0d292b49c26d9f4ab2dc1af07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e4f54d2a5df7277acbbced0768ef13f4e4e9955b9f4989089b7b884a3b2975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-19T10:59:12Z",
    "title_canon_sha256": "7de8cfb8d55242f177bc368ead523d30930154890b5edbd743975a1a9ee42a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3629",
    "kind": "arxiv",
    "version": 1
  }
}