Pith Number

pith:RA2OHR3U

pith:2010:RA2OHR3ULYWQ3IGJZWUSYD2RVR

not attested not anchored not stored refs pending

A Positive Recurrent Reflecting Brownian Motion with Divergent Fluid Path

Maury Bramson

arxiv:1010.1751 v1 · 2010-10-08 · 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{RA2OHR3ULYWQ3IGJZWUSYD2RVR}

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	2026-05-18T04:36:09.297254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8834e3c7745e2d0da0c9cda92c0f51ac55db6071cbd630cf121f7030a0d4757c

Aliases

arxiv: 1010.1751 · arxiv_version: 1010.1751v1 · doi: 10.48550/arxiv.1010.1751 · pith_short_12: RA2OHR3ULYWQ · pith_short_16: RA2OHR3ULYWQ3IGJ · pith_short_8: RA2OHR3U

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/RA2OHR3ULYWQ3IGJZWUSYD2RVR \
  | 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: 8834e3c7745e2d0da0c9cda92c0f51ac55db6071cbd630cf121f7030a0d4757c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b5c5bb234211aa62e1fc11d6e7556fcfeb61b84faf82cbdffea83127cc37c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-08T17:58:10Z",
    "title_canon_sha256": "f320a1715898d57c2c0516089f49e5217fcfe12ae86c9a2516586bc614851283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1751",
    "kind": "arxiv",
    "version": 1
  }
}