Pith Number

pith:C5XPHMRV

pith:2012:C5XPHMRVWHUF5ZLYZTY7JX3GDD

not attested not anchored not stored refs pending

Measurable Riemannian structures associated with strong local Dirichlet forms

Masanori Hino

arxiv:1212.6166 v1 · 2012-12-26 · 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{C5XPHMRVWHUF5ZLYZTY7JX3GDD}

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	2026-05-18T03:11:35.975512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176ef3b235b1e85ee578ccf1f4df6618ed8e3102ebbee5536ad46efc13988d36

Aliases

arxiv: 1212.6166 · arxiv_version: 1212.6166v1 · doi: 10.48550/arxiv.1212.6166 · pith_short_12: C5XPHMRVWHUF · pith_short_16: C5XPHMRVWHUF5ZLY · pith_short_8: C5XPHMRV

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/C5XPHMRVWHUF5ZLYZTY7JX3GDD \
  | 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: 176ef3b235b1e85ee578ccf1f4df6618ed8e3102ebbee5536ad46efc13988d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "195e5091a40c334445dec923ad4b4e53db8dccfe8bd4e024bb457be82d5fb924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-26T12:02:25Z",
    "title_canon_sha256": "9ee55a29723dce9dc686ba2fd99165d996dcb77c9138089d280581336bad7922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6166",
    "kind": "arxiv",
    "version": 1
  }
}