Pith Number

pith:HHII5TEL

pith:2013:HHII5TEL76YYQDKWGD6FPGZJLL

not attested not anchored not stored refs pending

Post-Newtonian Celestial Dynamics in Cosmology: Field Equations

Alexander Petrov (Moscow State University, Russia), Sergei Kopeikin (University of Missouri, USA)

arxiv:1301.5706 v1 · 2013-01-24 · gr-qc · astro-ph.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHII5TEL76YYQDKWGD6FPGZJLL}

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	2026-05-18T03:32:31.156125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d08ecc8bffb1880d5630fc579b295ae78780f23489a544338f0182c829365c

Aliases

arxiv: 1301.5706 · arxiv_version: 1301.5706v1 · doi: 10.48550/arxiv.1301.5706 · pith_short_12: HHII5TEL76YY · pith_short_16: HHII5TEL76YYQDKW · pith_short_8: HHII5TEL

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/HHII5TEL76YYQDKWGD6FPGZJLL \
  | 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: 39d08ecc8bffb1880d5630fc579b295ae78780f23489a544338f0182c829365c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77afb9f51a0191970656c918833732d33e12beb91913d5fbf06fba1c1b3ab9e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-24T06:01:44Z",
    "title_canon_sha256": "39e81d47c8621b7354aca6dad3470c2cb2812bd59fc9626ea1d7d052423629cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5706",
    "kind": "arxiv",
    "version": 1
  }
}