Pith Number

pith:TWNIZUK7

pith:2009:TWNIZUK7LTKLGB7VL4V625L4E7

not attested not anchored not stored refs pending

Introduction to Gravitational Self-Force

Robert M. Wald

arxiv:0907.0412 v1 · 2009-07-02 · 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{TWNIZUK7LTKLGB7VL4V625L4E7}

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

4 papers in Pith

Gravitating Tubes Beyond World Line Paradigm In General Relativity

Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

Receipt and verification

First computed	2026-07-04T15:45:28.236227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9a8cd15f5cd4b307f55f2bed757c27f281a23249c9eefaa3ebd0b398dd1601

Aliases

arxiv: 0907.0412 · arxiv_version: 0907.0412v1 · doi: 10.48550/arxiv.0907.0412 · pith_short_12: TWNIZUK7LTKL · pith_short_16: TWNIZUK7LTKLGB7V · pith_short_8: TWNIZUK7

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/TWNIZUK7LTKLGB7VL4V625L4E7 \
  | 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: 9d9a8cd15f5cd4b307f55f2bed757c27f281a23249c9eefaa3ebd0b398dd1601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa5541c36e5351dae56cd4371e3d2eac0ef42d9c3576340e8062d449efa1bb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-02T15:42:20Z",
    "title_canon_sha256": "85daaf15299d4e0df93fa3411dfe96990b37bb1f0fc1317967e117b7abe3e6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0412",
    "kind": "arxiv",
    "version": 1
  }
}