Pith Number

pith:DB23NCGW

pith:2015:DB23NCGWIZM4JQJ7OLAEZYWQU4

not attested not anchored not stored refs pending

Observational Challenges for the Standard FLRW Model

Alan A. Coley, Boudewijn F. Roukema, David L. Wiltshire, Hagen Kleinert, Thomas Buchert

arxiv:1512.03313 v2 · 2015-12-10 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DB23NCGWIZM4JQJ7OLAEZYWQU4}

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	2026-05-18T01:21:11.077609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1875b688d64659c4c13f72c04ce2d0a7127a8cb5a9d6141d41de85b55401e9e3

Aliases

arxiv: 1512.03313 · arxiv_version: 1512.03313v2 · doi: 10.48550/arxiv.1512.03313 · pith_short_12: DB23NCGWIZM4 · pith_short_16: DB23NCGWIZM4JQJ7 · pith_short_8: DB23NCGW

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/DB23NCGWIZM4JQJ7OLAEZYWQU4 \
  | 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: 1875b688d64659c4c13f72c04ce2d0a7127a8cb5a9d6141d41de85b55401e9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60215be295f53d62f87ee31102a69208e71d4860cd1e3309059548aa1004aa77",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-10T16:34:31Z",
    "title_canon_sha256": "7f31ce4e70e8ee0f28b0c5939512ebf089f9f9d11311ad3f3d2b9aad721a21ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03313",
    "kind": "arxiv",
    "version": 2
  }
}