Pith Number

pith:4DYIRFV5

pith:2017:4DYIRFV5NW5XUDFPH5MFD7KPS6

not attested not anchored not stored refs pending

Large time unimodality for classical and free Brownian motions with initial distributions

Takahiro Hasebe, Yuki Ueda

arxiv:1710.08240 v2 · 2017-10-23 · 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{4DYIRFV5NW5XUDFPH5MFD7KPS6}

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	2026-05-18T00:05:46.090970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f08896bd6dbb7a0caf3f5851fd4f97bf8c0d4ecf4dd1af6a860983b356711d

Aliases

arxiv: 1710.08240 · arxiv_version: 1710.08240v2 · doi: 10.48550/arxiv.1710.08240 · pith_short_12: 4DYIRFV5NW5X · pith_short_16: 4DYIRFV5NW5XUDFP · pith_short_8: 4DYIRFV5

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/4DYIRFV5NW5XUDFPH5MFD7KPS6 \
  | 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: e0f08896bd6dbb7a0caf3f5851fd4f97bf8c0d4ecf4dd1af6a860983b356711d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac871e2f7f6ab280c7e96bbfe0fd88c5415ca28ae16e0a9a3f663b65e1ca090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-23T12:44:02Z",
    "title_canon_sha256": "efd01448a6dcee487a4d87f4589c4b1130327dc773e75daceab35f34634504ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08240",
    "kind": "arxiv",
    "version": 2
  }
}