Pith Number

pith:72OBUXOZ

pith:2013:72OBUXOZRLG6BXYV7VO4MUTIX3

not attested not anchored not stored refs pending

On a Brownian excursion law, I: convolution representations

Michael Schr\"oder

arxiv:1303.5203 v1 · 2013-03-21 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72OBUXOZRLG6BXYV7VO4MUTIX3}

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	2026-05-18T03:30:13.635505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9c1a5dd98acde0df15fd5dc65268bed5a0622e1ae9af600102e6781e6f880a

Aliases

arxiv: 1303.5203 · arxiv_version: 1303.5203v1 · doi: 10.48550/arxiv.1303.5203 · pith_short_12: 72OBUXOZRLG6 · pith_short_16: 72OBUXOZRLG6BXYV · pith_short_8: 72OBUXOZ

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/72OBUXOZRLG6BXYV7VO4MUTIX3 \
  | 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: fe9c1a5dd98acde0df15fd5dc65268bed5a0622e1ae9af600102e6781e6f880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b013100bd6e453073f1e1501b5bc0a0236a4d2523499a66f0e587ff0e04e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-21T09:32:49Z",
    "title_canon_sha256": "477e09e0e01a620992c34c62ff455d3481fdd3335767bfbe91b04657538b0158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5203",
    "kind": "arxiv",
    "version": 1
  }
}