Pith Number

pith:KVRLLAU6

pith:1999:KVRLLAU6WLYYRC22WMVI7IZPKA

not attested not anchored not stored refs pending

The critical manifold of the Lorentz-Dirac equation

Herbert Spohn

arxiv:physics/9911027 v1 · 1999-11-14 · physics.acc-ph · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVRLLAU6WLYYRC22WMVI7IZPKA}

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	2026-05-18T04:33:04.657742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5562b5829eb2f1888b5ab32a8fa32f50138a98ccf2a496b744f97a3594879ea6

Aliases

arxiv: physics/9911027 · arxiv_version: physics/9911027v1 · doi: 10.48550/arxiv.physics/9911027 · pith_short_12: KVRLLAU6WLYY · pith_short_16: KVRLLAU6WLYYRC22 · pith_short_8: KVRLLAU6

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/KVRLLAU6WLYYRC22WMVI7IZPKA \
  | 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: 5562b5829eb2f1888b5ab32a8fa32f50138a98ccf2a496b744f97a3594879ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ea18643ea0ed191d439bcdc6c833f75c77b830d195e815677a2384157f6ba1",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "physics.acc-ph",
    "submitted_at": "1999-11-14T17:45:46Z",
    "title_canon_sha256": "2a05af73e864bd25b60d300e83084b038884d5ea6d50e85394a8f173e4cd995b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9911027",
    "kind": "arxiv",
    "version": 1
  }
}