Pith Number

pith:COEKIZ6K

pith:2015:COEKIZ6KRM645PUTNZQ2VQWMAR

not attested not anchored not stored refs pending

Second-order perturbation theory: problems on large scales

Adam Pound

arxiv:1510.05172 v1 · 2015-10-17 · 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{COEKIZ6KRM645PUTNZQ2VQWMAR}

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

Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

Receipt and verification

First computed	2026-05-18T01:08:26.298762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1388a467ca8b3dcebe936e61aac2cc04482d122f1d55a9866a118a33c119e7bc

Aliases

arxiv: 1510.05172 · arxiv_version: 1510.05172v1 · doi: 10.48550/arxiv.1510.05172 · pith_short_12: COEKIZ6KRM64 · pith_short_16: COEKIZ6KRM645PUT · pith_short_8: COEKIZ6K

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/COEKIZ6KRM645PUTNZQ2VQWMAR \
  | 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: 1388a467ca8b3dcebe936e61aac2cc04482d122f1d55a9866a118a33c119e7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f928f0667113fe7f37318191e33188f58f7c4156f6f314e254515060db5bd62",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-17T22:05:18Z",
    "title_canon_sha256": "8991ea59879f60d9f7e9f2b29a840705dfdeb827c5b4e1e9c7751fd553f45cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05172",
    "kind": "arxiv",
    "version": 1
  }
}