Pith Number

pith:7VLK6XGF

pith:2006:7VLK6XGF2VXR4UFCYNNNXKHACM

not attested not anchored not stored refs pending

Pathwise uniqueness for a degenerate stochastic differential equation

Krzysztof Burdzy, Richard F. Bass, Zhen-Qing Chen

arxiv:math/0601505 v2 · 2006-01-20 · 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{7VLK6XGF2VXR4UFCYNNNXKHACM}

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	2026-07-04T15:52:43.150930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd56af5cc5d56f1e50a2c35adba8e0131efceb705a75e6b5e875a037ea947d44

Aliases

arxiv: math/0601505 · arxiv_version: math/0601505v2 · doi: 10.48550/arxiv.math/0601505 · pith_short_12: 7VLK6XGF2VXR · pith_short_16: 7VLK6XGF2VXR4UFC · pith_short_8: 7VLK6XGF

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/7VLK6XGF2VXR4UFCYNNNXKHACM \
  | 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: fd56af5cc5d56f1e50a2c35adba8e0131efceb705a75e6b5e875a037ea947d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757dbd9bb55ed92ae67f383e8dc7b4d4c3133a31eb736ea4abd274e1148b3c4f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-01-20T17:52:35Z",
    "title_canon_sha256": "bd7034570a2e663c6ce6eaba31275128746a38cb4ac31ab6cd66f659b9b4f79d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601505",
    "kind": "arxiv",
    "version": 2
  }
}