Pith Number

pith:W33UGGMD

pith:2026:W33UGGMDU47CSSKJSCMOTZTNLN

not attested not anchored not stored refs pending

Approximation of certain stochastic integrals with anticipating integrands

Hannah Geiss, Onni Hinkkanen, Stefan Geiss

arxiv:2606.08776 v1 · 2026-06-07 · 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{W33UGGMDU47CSSKJSCMOTZTNLN}

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	2026-06-09T02:07:38.799136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f7431983a73e2949499098e9e66d5b59a728bef7419cff4973f759fc3a7836

Aliases

arxiv: 2606.08776 · arxiv_version: 2606.08776v1 · doi: 10.48550/arxiv.2606.08776 · pith_short_12: W33UGGMDU47C · pith_short_16: W33UGGMDU47CSSKJ · pith_short_8: W33UGGMD

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/W33UGGMDU47CSSKJSCMOTZTNLN \
  | 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: b6f7431983a73e2949499098e9e66d5b59a728bef7419cff4973f759fc3a7836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea992bffffd9c62faa556436849484eddf2b639d0a734db0be9054702596174a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-07T18:42:15Z",
    "title_canon_sha256": "7597e66e1e69ca426073f8a35dbe3246ac3d345bdaa2923534bf6e3669c9c116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08776",
    "kind": "arxiv",
    "version": 1
  }
}