Pith Number

pith:3BMICWRW

pith:2015:3BMICWRW3SHOBNWAZD3HGCNKOT

not attested not anchored not stored refs pending

Regular subspaces of Dirichlet forms

Jiangang Ying, Liping Li

arxiv:1504.05288 v1 · 2015-04-21 · 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{3BMICWRW3SHOBNWAZD3HGCNKOT}

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	2026-05-18T02:18:14.634838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d858815a36dc8ee0b6c0c8f67309aa74db01a8cfd520792c18098e4459bc6479

Aliases

arxiv: 1504.05288 · arxiv_version: 1504.05288v1 · doi: 10.48550/arxiv.1504.05288 · pith_short_12: 3BMICWRW3SHO · pith_short_16: 3BMICWRW3SHOBNWA · pith_short_8: 3BMICWRW

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/3BMICWRW3SHOBNWAZD3HGCNKOT \
  | 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: d858815a36dc8ee0b6c0c8f67309aa74db01a8cfd520792c18098e4459bc6479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d89d38f6ff314da85207acba2177d922ab5f9712c9eea29bb17e844207ed108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-21T03:35:27Z",
    "title_canon_sha256": "21828910e700bd2f0e351fe1009dcae43415a1c60d352dee36b94984cdbbe3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05288",
    "kind": "arxiv",
    "version": 1
  }
}