Pith Number

pith:ZIOB47UY

pith:2018:ZIOB47UYEYSB2UCD3LS7FIC6TH

not attested not anchored not stored refs pending

Geometric properties of Dirichlet forms under order isomorphisms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

arxiv:1801.08326 v1 · 2018-01-25 · math.FA · math.AP · 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{ZIOB47UYEYSB2UCD3LS7FIC6TH}

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	2026-05-18T00:25:06.559409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1c1e7e9826241d5043dae5f2a05e99f40e708aadde2dfa5864fccc9dfbbff0

Aliases

arxiv: 1801.08326 · arxiv_version: 1801.08326v1 · doi: 10.48550/arxiv.1801.08326 · pith_short_12: ZIOB47UYEYSB · pith_short_16: ZIOB47UYEYSB2UCD · pith_short_8: ZIOB47UY

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/ZIOB47UYEYSB2UCD3LS7FIC6TH \
  | 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: ca1c1e7e9826241d5043dae5f2a05e99f40e708aadde2dfa5864fccc9dfbbff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776f3315f9bf6feb91294871fd78da50628b7d0f74b7a7e42b585ac5dfd5d98c",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-25T09:42:21Z",
    "title_canon_sha256": "610728423d7b82344a79853b39e2cebf7a078b0f84db3e49e9a469316d53b073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08326",
    "kind": "arxiv",
    "version": 1
  }
}