Pith Number

pith:OFULSOLP

pith:2018:OFULSOLP5U2RDYZO5FDLK74GJL

not attested not anchored not stored refs pending

Green function of a random walk in a cone

Jetlir Duraj, Vitali Wachtel

arxiv:1807.07360 v1 · 2018-07-19 · 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{OFULSOLP5U2RDYZO5FDLK74GJL}

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	2026-05-18T00:10:20.365135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7168b9396fed3511e32ee946b57f864ad6a23819b5ad5247581a9ecd38748642

Aliases

arxiv: 1807.07360 · arxiv_version: 1807.07360v1 · doi: 10.48550/arxiv.1807.07360 · pith_short_12: OFULSOLP5U2R · pith_short_16: OFULSOLP5U2RDYZO · pith_short_8: OFULSOLP

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/OFULSOLP5U2RDYZO5FDLK74GJL \
  | 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: 7168b9396fed3511e32ee946b57f864ad6a23819b5ad5247581a9ecd38748642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4da3d340cce4ebdab70b1303acf40270840509800dd2e9f17863a48f3e0bff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-19T12:13:49Z",
    "title_canon_sha256": "ab1d3eaa9a697968059445d58785f8c49c4ed205a0a64101d0a7f23e16174321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07360",
    "kind": "arxiv",
    "version": 1
  }
}