Pith Number

pith:J5YL54GS

pith:2016:J5YL54GSYYHXXQ3CTOJJM2XCQF

not attested not anchored not stored refs pending

Recurrence and transience for normally reflected Brownian motion in warped product manifolds

Levi Lopes de Lima

arxiv:1607.05646 v2 · 2016-07-19 · math.DG · 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{J5YL54GSYYHXXQ3CTOJJM2XCQF}

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	2026-05-18T01:08:16.079599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f70bef0d2c60f7bc3629b92966ae2816e48c25e70d93fbe0350d2b5e0a516ab

Aliases

arxiv: 1607.05646 · arxiv_version: 1607.05646v2 · doi: 10.48550/arxiv.1607.05646 · pith_short_12: J5YL54GSYYHX · pith_short_16: J5YL54GSYYHXXQ3C · pith_short_8: J5YL54GS

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/J5YL54GSYYHXXQ3CTOJJM2XCQF \
  | 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: 4f70bef0d2c60f7bc3629b92966ae2816e48c25e70d93fbe0350d2b5e0a516ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b95d515a6f98c4f51c3a1ca12b5b7b67dd233e79fe92499261d4dd3de3b9749a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-19T16:06:49Z",
    "title_canon_sha256": "96c80de3c8b2c03add0f806c58e909c94134fcc83f9dba19282e20ca5ca78938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05646",
    "kind": "arxiv",
    "version": 2
  }
}