Pith Number

pith:DF37CBF5

pith:2014:DF37CBF5RZ373E5QFWHYKV3UKE

not attested not anchored not stored refs pending

On structure of regular Dirichlet subspaces for one-dimensional Brownian motion

Jiangang Ying, Liping Li

arxiv:1412.1896 v2 · 2014-12-05 · 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{DF37CBF5RZ373E5QFWHYKV3UKE}

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	2026-05-18T01:15:38.881435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1977f104bd8e77fd93b02d8f855774512f4a58d63df4402029c284059d3c7f4d

Aliases

arxiv: 1412.1896 · arxiv_version: 1412.1896v2 · doi: 10.48550/arxiv.1412.1896 · pith_short_12: DF37CBF5RZ37 · pith_short_16: DF37CBF5RZ373E5Q · pith_short_8: DF37CBF5

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/DF37CBF5RZ373E5QFWHYKV3UKE \
  | 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: 1977f104bd8e77fd93b02d8f855774512f4a58d63df4402029c284059d3c7f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312739526319ebb3710a806fa61333fb322550f8fa69ce3384e872a3c7e5f310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-05T05:27:06Z",
    "title_canon_sha256": "11943777d97c1b4a1d3ab63203c8a0091790f3b01cb3545fa980e0f2a7d1a9f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1896",
    "kind": "arxiv",
    "version": 2
  }
}