Pith Number

pith:7ESWCY6C

pith:2013:7ESWCY6CZOWOGMAO544EDYNNLO

not attested not anchored not stored refs pending

Multiple points of the Brownian sheet in critical dimensions

Carl Mueller, Robert C. Dalang

arxiv:1303.0403 v3 · 2013-03-02 · 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{7ESWCY6CZOWOGMAO544EDYNNLO}

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	2026-05-18T01:33:35.538817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9256163c2cbace3300eef3841e1ad5ba6eea4e9ea844902fcc29a7af389ae7d

Aliases

arxiv: 1303.0403 · arxiv_version: 1303.0403v3 · doi: 10.48550/arxiv.1303.0403 · pith_short_12: 7ESWCY6CZOWO · pith_short_16: 7ESWCY6CZOWOGMAO · pith_short_8: 7ESWCY6C

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/7ESWCY6CZOWOGMAO544EDYNNLO \
  | 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: f9256163c2cbace3300eef3841e1ad5ba6eea4e9ea844902fcc29a7af389ae7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c02bc44b95bc11f5b43fd94a22a7fdb2cbb89e997817e7a9fdd033aade2dfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-02T17:04:47Z",
    "title_canon_sha256": "f08908e0ea5ab5b10061f9ae63083f71f5b1f4730e37763ed32f538b4c7123c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0403",
    "kind": "arxiv",
    "version": 3
  }
}