Pith Number

pith:GBQ6O5MY

pith:2025:GBQ6O5MYWO5GD4FRR4LADIAT2W

not attested not anchored not stored refs pending

Strong solutions of SDE's with rough coefficients

Ali Suleyman Ustunel

arxiv:2507.21592 v2 · 2025-07-29 · 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{GBQ6O5MYWO5GD4FRR4LADIAT2W}

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	2026-07-05T11:48:06.234765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3061e77598b3ba61f0b18f1601a013d58cd6f55bab55d6172e923b8c0c152363

Aliases

arxiv: 2507.21592 · arxiv_version: 2507.21592v2 · doi: 10.48550/arxiv.2507.21592 · pith_short_12: GBQ6O5MYWO5G · pith_short_16: GBQ6O5MYWO5GD4FR · pith_short_8: GBQ6O5MY

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/GBQ6O5MYWO5GD4FRR4LADIAT2W \
  | 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: 3061e77598b3ba61f0b18f1601a013d58cd6f55bab55d6172e923b8c0c152363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20083cde30b40a1fc6786cb030a2bb23f3851aaa00f0fb0c790f80e13029c83b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-29T08:47:03Z",
    "title_canon_sha256": "be3a79d3651e531e20bdef12a1f5c4f79627a6fa180344e71ff971ea1d338620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21592",
    "kind": "arxiv",
    "version": 2
  }
}