Pith Number

pith:YQITZW23

pith:2016:YQITZW23JLRBVQLPZ5DGLFSM6C

not attested not anchored not stored refs pending

Analytical solutions in $R+qR^{n}$ cosmology from singularity analysis

Andronikos Paliathanasis, P.G.L. Leach

arxiv:1605.04204 v2 · 2016-05-13 · gr-qc · 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{YQITZW23JLRBVQLPZ5DGLFSM6C}

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	2026-05-18T01:09:57.434311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4113cdb5b4ae21ac16fcf4665964cf0a6b9fdd50f5c86e0abfa760e0627ba03

Aliases

arxiv: 1605.04204 · arxiv_version: 1605.04204v2 · doi: 10.48550/arxiv.1605.04204 · pith_short_12: YQITZW23JLRB · pith_short_16: YQITZW23JLRBVQLP · pith_short_8: YQITZW23

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/YQITZW23JLRBVQLPZ5DGLFSM6C \
  | 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: c4113cdb5b4ae21ac16fcf4665964cf0a6b9fdd50f5c86e0abfa760e0627ba03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a9aa1286c4d9c122bd3829d316a0bd2dee01121f22de5309a82fd38a0dedbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-13T15:04:35Z",
    "title_canon_sha256": "1f03c5f642e0d469fd21baa0413c1a31334507bcd4ad844ae28e6b2cb9daa827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04204",
    "kind": "arxiv",
    "version": 2
  }
}