Pith Number

pith:4BTF6W3R

pith:2000:4BTF6W3RYDXPHNIALHJCYBJD7Q

not attested not anchored not stored refs pending

Self force on charges in the spacetime of spherical shells

Lior M. Burko (Caltech), Yoav Soen (Technion), Yuk Tung Liu (Caltech)

arxiv:gr-qc/0008065 v1 · 2000-08-27 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BTF6W3RYDXPHNIALHJCYBJD7Q}

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.

Cited by

1 paper in Pith

Self-Forces as Nonlocal Probes of Gravastar Interiors

Receipt and verification

First computed	2026-07-04T16:19:41.280723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0665f5b71c0eef3b50059d22c0523fc12a4479c13bd5204014fbd6fbe3b3c3f

Aliases

arxiv: gr-qc/0008065 · arxiv_version: gr-qc/0008065v1 · doi: 10.48550/arxiv.gr-qc/0008065 · pith_short_12: 4BTF6W3RYDXP · pith_short_16: 4BTF6W3RYDXPHNIA · pith_short_8: 4BTF6W3R

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/4BTF6W3RYDXPHNIALHJCYBJD7Q \
  | 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: e0665f5b71c0eef3b50059d22c0523fc12a4479c13bd5204014fbd6fbe3b3c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ad764f4700dcebcb9a54db1d5849fe5cad5de35d6cc7675c7687b3dc4784f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-08-27T22:19:37Z",
    "title_canon_sha256": "98f927f45bc81197800553b983e4e06c84a103a206f165827d092a627189e462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0008065",
    "kind": "arxiv",
    "version": 1
  }
}