Pith Number

pith:7KWU6H6R

pith:2018:7KWU6H6RMJY2RFBL6IV3P2U2OT

not attested not anchored not stored refs pending

Absolute Continuity of Complex Martingales and of Solutions to Complex Smoothing Equations

Ewa Damek, Sebastian Mentemeier

arxiv:1804.02209 v1 · 2018-04-06 · 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{7KWU6H6RMJY2RFBL6IV3P2U2OT}

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	2026-05-18T00:19:05.532655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faad4f1fd16271a8942bf22bb7ea9a74ea39e62bbf3d7c762d962a80c85d96bb

Aliases

arxiv: 1804.02209 · arxiv_version: 1804.02209v1 · doi: 10.48550/arxiv.1804.02209 · pith_short_12: 7KWU6H6RMJY2 · pith_short_16: 7KWU6H6RMJY2RFBL · pith_short_8: 7KWU6H6R

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/7KWU6H6RMJY2RFBL6IV3P2U2OT \
  | 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: faad4f1fd16271a8942bf22bb7ea9a74ea39e62bbf3d7c762d962a80c85d96bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e119c3db05c83170f131e4333ac9fd42503f65c969d151cd170921cb8e4b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-06T11:27:47Z",
    "title_canon_sha256": "bdf8e728dc7d863e11522efcb5694fbe248a2ae1ca346a4b3bb44d8f321dea38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02209",
    "kind": "arxiv",
    "version": 1
  }
}