Pith Number

pith:M5RPZL7N

pith:2007:M5RPZL7NDQA5JYSLLQYGCGJH2X

not attested not anchored not stored refs pending

Reflected Brownian motion in a wedge: sum-of-exponential stationary densities

A. B. Dieker, J. Moriarty

arxiv:0712.0844 v2 · 2007-12-05 · 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{M5RPZL7NDQA5JYSLLQYGCGJH2X}

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	2026-05-18T04:18:15.485032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6762fcafed1c01d4e24b5c30611927d5f361657937a59ebb2fbdc594e7058747

Aliases

arxiv: 0712.0844 · arxiv_version: 0712.0844v2 · doi: 10.48550/arxiv.0712.0844 · pith_short_12: M5RPZL7NDQA5 · pith_short_16: M5RPZL7NDQA5JYSL · pith_short_8: M5RPZL7N

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/M5RPZL7NDQA5JYSLLQYGCGJH2X \
  | 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: 6762fcafed1c01d4e24b5c30611927d5f361657937a59ebb2fbdc594e7058747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd35f6d4bdb3ea1747efa4bc7df2aec4f48eaada776dacd8adb3f9a217c70f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-12-05T23:05:34Z",
    "title_canon_sha256": "e495192b55e3c4004d1a878218672bc56cd9107f48c2133c37f8bc15808e4b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0844",
    "kind": "arxiv",
    "version": 2
  }
}