Pith Number

pith:5OKRM2Y4

pith:2011:5OKRM2Y4NUVC5SDNRSGG2CP5O2

not attested not anchored not stored refs pending

On the Spectral Gap of Brownian Motion with Jump Boundary

Achim W\"ubker, Martin Kolb

arxiv:1101.3556 v1 · 2011-01-18 · 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{5OKRM2Y4NUVC5SDNRSGG2CP5O2}

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	2026-05-18T04:31:21.953490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb95166b1c6d2a2ec86d8c8c6d09fd76a2d3c98d16c114c0c245bc638cf4187a

Aliases

arxiv: 1101.3556 · arxiv_version: 1101.3556v1 · doi: 10.48550/arxiv.1101.3556 · pith_short_12: 5OKRM2Y4NUVC · pith_short_16: 5OKRM2Y4NUVC5SDN · pith_short_8: 5OKRM2Y4

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/5OKRM2Y4NUVC5SDNRSGG2CP5O2 \
  | 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: eb95166b1c6d2a2ec86d8c8c6d09fd76a2d3c98d16c114c0c245bc638cf4187a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfa717b0d8984fbc30920b4a6e5c9eebb4282870d18ae55f79a4cdb6dde7d18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-18T21:02:28Z",
    "title_canon_sha256": "8fbda00ff2eb76b83f4975daa9122d2fa64006a970ec75d8b88c4b95b119062f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3556",
    "kind": "arxiv",
    "version": 1
  }
}