Pith Number

pith:IR7XXZOE

pith:2015:IR7XXZOEWGCEIOU2JTU7GDBZBP

not attested not anchored not stored refs pending

Compactness Criteria for the Resolvent of the Fokker-Planck operator

Wei-Xi Li

arxiv:1510.01567 v3 · 2015-10-06 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR7XXZOEWGCEIOU2JTU7GDBZBP}

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	2026-05-18T01:02:56.800502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447f7be5c4b184443a9a4ce9f30c390bdea6d1833b22681108040d4bb38c601c

Aliases

arxiv: 1510.01567 · arxiv_version: 1510.01567v3 · doi: 10.48550/arxiv.1510.01567 · pith_short_12: IR7XXZOEWGCE · pith_short_16: IR7XXZOEWGCEIOU2 · pith_short_8: IR7XXZOE

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/IR7XXZOEWGCEIOU2JTU7GDBZBP \
  | 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: 447f7be5c4b184443a9a4ce9f30c390bdea6d1833b22681108040d4bb38c601c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50584e35719a1f0ea4723958098ce89df3eb6964471e5679481ba8c9281d6300",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-06T13:23:47Z",
    "title_canon_sha256": "0cc2c8b5a8ba5b65acabf75c8faf8612fe5fc969437dc7d22d54696253911ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01567",
    "kind": "arxiv",
    "version": 3
  }
}