Pith Number

pith:MXY622JI

pith:2015:MXY622JIIQCANVMM7747GBLRUL

not attested not anchored not stored refs pending

The Brownian web, the Brownian net, and their universality

Emmanuel Schertzer, Jan M. Swart, Rongfeng Sun

arxiv:1506.00724 v3 · 2015-06-02 · 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{MXY622JIIQCANVMM7747GBLRUL}

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	2026-05-18T00:53:17.813162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f1ed6928440406d58cfff9f30571a2d608968c83498f4c70de71be89444a91

Aliases

arxiv: 1506.00724 · arxiv_version: 1506.00724v3 · doi: 10.48550/arxiv.1506.00724 · pith_short_12: MXY622JIIQCA · pith_short_16: MXY622JIIQCANVMM · pith_short_8: MXY622JI

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/MXY622JIIQCANVMM7747GBLRUL \
  | 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: 65f1ed6928440406d58cfff9f30571a2d608968c83498f4c70de71be89444a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8699291b3d95935535aafe8fa2c716e01b2f97b9b3f85cb76791e75d1221dc92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-02T02:05:37Z",
    "title_canon_sha256": "ed81884f2e14360e7d5b65e34c98f91a4caa98eebe39f9c113ec43eb40f8cf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00724",
    "kind": "arxiv",
    "version": 3
  }
}