pith. sign in
Pith Number

pith:W6Q2XSIL

pith:2011:W6Q2XSIL7KFU7Y2MROC35XFFP7
not attested not anchored not stored refs pending

The Lorentz-Dirac equation in complex space-time

Mark Davidson

arxiv:1109.4923 v3 · 2011-09-20 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W6Q2XSIL7KFU7Y2MROC35XFFP7}

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 2026-05-18T01:12:31.108618Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b7a1abc90bfa8b4fe34c8b85bedca57fdadb9f0256ad467808bd9cd4b6648e02

Aliases

arxiv: 1109.4923 · arxiv_version: 1109.4923v3 · doi: 10.48550/arxiv.1109.4923 · pith_short_12: W6Q2XSIL7KFU · pith_short_16: W6Q2XSIL7KFU7Y2M · pith_short_8: W6Q2XSIL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W6Q2XSIL7KFU7Y2MROC35XFFP7 \
  | 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: b7a1abc90bfa8b4fe34c8b85bedca57fdadb9f0256ad467808bd9cd4b6648e02
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aba2e36eb59af1685ffa18577d3ac794d7694d9f2dfa5136e7f16659dc308861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-20T22:06:46Z",
    "title_canon_sha256": "e7378759616935a18cfdf787c76a3dca9e215306a0a1b8bca4f8ac1615140637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4923",
    "kind": "arxiv",
    "version": 3
  }
}