Pith Number

pith:ZUDA7BOI

pith:2011:ZUDA7BOI27JZOPO6KFK2MZ3ZCF

not attested not anchored not stored refs pending

Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole

Leor Barack, Norichika Sago

arxiv:1101.3331 v2 · 2011-01-17 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUDA7BOI27JZOPO6KFK2MZ3ZCF}

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

High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms

Receipt and verification

First computed	2026-05-18T02:22:51.899304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd060f85c8d7d3973dde5155a6677911597d7b0cf142e9f1df7f81cec930d41e

Aliases

arxiv: 1101.3331 · arxiv_version: 1101.3331v2 · doi: 10.48550/arxiv.1101.3331 · pith_short_12: ZUDA7BOI27JZ · pith_short_16: ZUDA7BOI27JZOPO6 · pith_short_8: ZUDA7BOI

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/ZUDA7BOI27JZOPO6KFK2MZ3ZCF \
  | 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: cd060f85c8d7d3973dde5155a6677911597d7b0cf142e9f1df7f81cec930d41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a354875b4eed6dec56ee21aeb0c738ec590e17476eec6440d95bd9997cfa8f70",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-17T21:08:50Z",
    "title_canon_sha256": "044ac101d3f800a9063fc542c4d2af9d0b10b3b971c0984e59555f53da618416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3331",
    "kind": "arxiv",
    "version": 2
  }
}