Pith Number

pith:CPPPCHNI

pith:2017:CPPPCHNIGFYQI2JKCFMSLC267E

not attested not anchored not stored refs pending

On the Integrability of the Geodesic Flow on a Friedmann-Robertson-Walker Spacetime

Francisco Astorga, J. Felix Salazar, Thomas Zannias

arxiv:1712.08972 v2 · 2017-12-24 · gr-qc · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPPPCHNIGFYQI2JKCFMSLC267E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:57:32.383853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13def11da8317104692a1159258b5ef934cbd5f5fc7febaa1b5e758b0cf1d91c

Aliases

arxiv: 1712.08972 · arxiv_version: 1712.08972v2 · doi: 10.48550/arxiv.1712.08972 · pith_short_12: CPPPCHNIGFYQ · pith_short_16: CPPPCHNIGFYQI2JK · pith_short_8: CPPPCHNI

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/CPPPCHNIGFYQI2JKCFMSLC267E \
  | 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: 13def11da8317104692a1159258b5ef934cbd5f5fc7febaa1b5e758b0cf1d91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d503accc15a0855a0d956002691fa471f2aae6189ce42503e51057cef79be44",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-24T22:39:17Z",
    "title_canon_sha256": "2c9482c16ce9ba44449e6dc27e1d30c4ba36ede4d0388f15c0aa88dd14eb8461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08972",
    "kind": "arxiv",
    "version": 2
  }
}