Pith Number

pith:YGLIA45Z

pith:2017:YGLIA45Z243H3VARSMWTHKXUZX

not attested not anchored not stored refs pending

A semiclassical approach to the Kramers--Smoluchowski equation

Laurent Michel, Maciej Zworski

arxiv:1703.07460 v2 · 2017-03-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGLIA45Z243H3VARSMWTHKXUZX}

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	2026-05-18T00:10:52.324778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1968073b9d7367dd411932d33aaf4cde13d8ab168916ce583079e474142f631

Aliases

arxiv: 1703.07460 · arxiv_version: 1703.07460v2 · doi: 10.48550/arxiv.1703.07460 · pith_short_12: YGLIA45Z243H · pith_short_16: YGLIA45Z243H3VAR · pith_short_8: YGLIA45Z

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/YGLIA45Z243H3VARSMWTHKXUZX \
  | 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: c1968073b9d7367dd411932d33aaf4cde13d8ab168916ce583079e474142f631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba7be45cadedd997a1d095e6b0a6a7cc46c1b61e4e91cd6dbc94833bb3b962f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-21T22:47:36Z",
    "title_canon_sha256": "adb3d8378696a951b40477763391da938cc22039e267b77206e72aa4e1c4f84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07460",
    "kind": "arxiv",
    "version": 2
  }
}