Pith Number

pith:QVNMSASR

pith:2025:QVNMSASRPDAMTWEJNDHJ23TXJI

not attested not anchored not stored refs pending

Stretched Brownian Motion: convergence of dual optimising sequences

Pietro Siorpaes, Walter Schachermayer

arxiv:2508.20017 v1 · 2025-08-27 · 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{QVNMSASRPDAMTWEJNDHJ23TXJI}

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	2026-07-05T12:00:22.197439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855ac9025178c0c9d88968ce9d6e774a1f7c58b00248b67957e994c13b61fc0f

Aliases

arxiv: 2508.20017 · arxiv_version: 2508.20017v1 · doi: 10.48550/arxiv.2508.20017 · pith_short_12: QVNMSASRPDAM · pith_short_16: QVNMSASRPDAMTWEJ · pith_short_8: QVNMSASR

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/QVNMSASRPDAMTWEJNDHJ23TXJI \
  | 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: 855ac9025178c0c9d88968ce9d6e774a1f7c58b00248b67957e994c13b61fc0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf029724680b0848d7e9ef8aa311b291de216277b83ae8fefbb9c99300c5929",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-27T16:24:18Z",
    "title_canon_sha256": "fdb4c79348f02d7b07bd703cb20486cc80d2799ce3100dd191b665e2eade0cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20017",
    "kind": "arxiv",
    "version": 1
  }
}