Pith Number

pith:B27ANOMM

pith:2016:B27ANOMMUIML2SN3ZQBKPAD7E2

not attested not anchored not stored refs pending

Vacuum self similar anisotropic cosmologies in $F(R)-$gravity

Pantelis S. Apostolopoulos

arxiv:1611.02013 v2 · 2016-11-07 · gr-qc · hep-th · 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{B27ANOMMUIML2SN3ZQBKPAD7E2}

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	2026-05-18T00:47:56.712452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebe06b98ca218bd49bbcc02a7807f2680d2e47f1c2cf8ed869c684de6caa645

Aliases

arxiv: 1611.02013 · arxiv_version: 1611.02013v2 · doi: 10.48550/arxiv.1611.02013 · pith_short_12: B27ANOMMUIML · pith_short_16: B27ANOMMUIML2SN3 · pith_short_8: B27ANOMM

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/B27ANOMMUIML2SN3ZQBKPAD7E2 \
  | 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: 0ebe06b98ca218bd49bbcc02a7807f2680d2e47f1c2cf8ed869c684de6caa645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd61e11ba4d35c91471003b312f9c8b2aeabd7a0750f58a1c298d0181345b8b5",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-07T12:19:10Z",
    "title_canon_sha256": "75bab4cd3079aa325664b46a0dde0635313faa3ebea6349715fc56af825f6ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02013",
    "kind": "arxiv",
    "version": 2
  }
}