Pith Number

pith:R4TMBUNS

pith:2018:R4TMBUNSXXTIZ5RKA37RGYBBKJ

not attested not anchored not stored refs pending

Brownian winding fields

Yves Le Jan

arxiv:1811.02737 v2 · 2018-11-07 · 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{R4TMBUNSXXTIZ5RKA37RGYBBKJ}

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	2026-05-17T23:50:02.429360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f26c0d1b2bde68cf62a06ff136021526eafbdf030ef066492b926bfb63e8612

Aliases

arxiv: 1811.02737 · arxiv_version: 1811.02737v2 · doi: 10.48550/arxiv.1811.02737 · pith_short_12: R4TMBUNSXXTI · pith_short_16: R4TMBUNSXXTIZ5RK · pith_short_8: R4TMBUNS

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/R4TMBUNSXXTIZ5RKA37RGYBBKJ \
  | 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: 8f26c0d1b2bde68cf62a06ff136021526eafbdf030ef066492b926bfb63e8612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf44a9dff6ec42e7f9d8c9cbba53e5d155e6608d41056be9d0d77deb8108798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-07T02:39:20Z",
    "title_canon_sha256": "3ae28c172459052ec659bbe1a04ba84031f33a39d9a01d60f8cc244df3f4bf50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02737",
    "kind": "arxiv",
    "version": 2
  }
}