Pith Number

pith:RBFCAFPW

pith:2024:RBFCAFPW6B53OYLVEOR4J5TSIT

not attested not anchored not stored refs pending

Variation inequalities for smartingales

Markus Passenbrunner

arxiv:2409.13227 v2 · 2024-09-20 · math.PR · 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{RBFCAFPW6B53OYLVEOR4J5TSIT}

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	2026-05-29T02:05:33.252395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

884a2015f6f07bb7617523a3c4f67244f8652832a9c16e08c3c003d722ec170e

Aliases

arxiv: 2409.13227 · arxiv_version: 2409.13227v2 · doi: 10.48550/arxiv.2409.13227 · pith_short_12: RBFCAFPW6B53 · pith_short_16: RBFCAFPW6B53OYLV · pith_short_8: RBFCAFPW

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/RBFCAFPW6B53OYLVEOR4J5TSIT \
  | 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: 884a2015f6f07bb7617523a3c4f67244f8652832a9c16e08c3c003d722ec170e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9c45a8c4242603330c2d3e9c2e78d800883ac2aeae887109f4ab10addc46c1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-20T05:22:52Z",
    "title_canon_sha256": "973153ede2ee8af7e7d5708bd3f3828bc2102870d3a0f3c4e27887362125684c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.13227",
    "kind": "arxiv",
    "version": 2
  }
}