Pith Number

pith:4FJUPMTD

pith:2015:4FJUPMTDYJ2M5JRK46QO7UHDPW

not attested not anchored not stored refs pending

Embedding Non-Linear Structures in f(R) Cosmologies

Timothy Clifton

arxiv:1509.06678 v1 · 2015-09-22 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FJUPMTDYJ2M5JRK46QO7UHDPW}

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	2026-05-18T01:32:19.652055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15347b263c274cea62ae7a0efd0e37d910583420b444b81ebd377b8f6ffcce4

Aliases

arxiv: 1509.06678 · arxiv_version: 1509.06678v1 · doi: 10.48550/arxiv.1509.06678 · pith_short_12: 4FJUPMTDYJ2M · pith_short_16: 4FJUPMTDYJ2M5JRK · pith_short_8: 4FJUPMTD

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/4FJUPMTDYJ2M5JRK46QO7UHDPW \
  | 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: e15347b263c274cea62ae7a0efd0e37d910583420b444b81ebd377b8f6ffcce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691dabb187e4937640f23f5be55c2ad61a1159cc84bcad2ab89f2b274d9b1af1",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-22T16:43:14Z",
    "title_canon_sha256": "fb68fbaced4cf75c36f58d1add265092d177eeb1da0fdc0d6c72a88f2864db3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06678",
    "kind": "arxiv",
    "version": 1
  }
}