pith. sign in
Pith Number

pith:NMPRNXET

pith:2010:NMPRNXETYO4YFGLAOOGFLZCW7X
not attested not anchored not stored refs pending

Lindblad resonance torques in relativistic discs: I. Basic equations

Christopher M. Hirata

arxiv:1010.0758 v2 · 2010-10-05 · astro-ph.HE · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NMPRNXETYO4YFGLAOOGFLZCW7X}

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 2026-05-18T02:05:11.502377Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6b1f16dc93c3b9829960738c55e456fdfe25690413e4d49c14d35088b83dbc96

Aliases

arxiv: 1010.0758 · arxiv_version: 1010.0758v2 · doi: 10.48550/arxiv.1010.0758 · pith_short_12: NMPRNXETYO4Y · pith_short_16: NMPRNXETYO4YFGLA · pith_short_8: NMPRNXET
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NMPRNXETYO4YFGLAOOGFLZCW7X \
  | 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: 6b1f16dc93c3b9829960738c55e456fdfe25690413e4d49c14d35088b83dbc96
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7e0d8f3cb75086c2f76fb8c562f20f5e7167680618f475b9c1bcfd5458ec891a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2010-10-05T03:38:05Z",
    "title_canon_sha256": "56d315ffcd96fc67559448957b6d807c1d47d531552c26499c2e2ec1a45b141a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0758",
    "kind": "arxiv",
    "version": 2
  }
}