Pith Number

pith:O6TFFAB5

pith:2022:O6TFFAB57Y3B33HYAXGJRZBVBH

not attested not anchored not stored refs pending

On order isomorphisms intertwining semigroups for Dirichlet forms

Hanlai Lin, Liping Li

arxiv:2204.02975 v1 · 2022-04-06 · math.FA · 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{O6TFFAB57Y3B33HYAXGJRZBVBH}

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	2026-07-05T04:12:18.880138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a652803dfe361decf805cc98e43509de5b0965ed83ca680e3942b1f46b8d74

Aliases

arxiv: 2204.02975 · arxiv_version: 2204.02975v1 · doi: 10.48550/arxiv.2204.02975 · pith_short_12: O6TFFAB57Y3B · pith_short_16: O6TFFAB57Y3B33HY · pith_short_8: O6TFFAB5

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/O6TFFAB57Y3B33HYAXGJRZBVBH \
  | 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: 77a652803dfe361decf805cc98e43509de5b0965ed83ca680e3942b1f46b8d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ced92c9c1ccc406870983d6e03b9259749bd9f02a8ae7117e8a0e9c47681751",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-04-06T08:11:17Z",
    "title_canon_sha256": "434f1a9e79070a2da0f14043ca3f0bd1318761cae78face29754263c75814d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02975",
    "kind": "arxiv",
    "version": 1
  }
}