Pith Number

pith:MMILDFS2

pith:2014:MMILDFS2Q5YFG53Z57GYYKL5PT

not attested not anchored not stored refs pending

Friedmann's Equations in All Dimensions and Chebyshev's Theorem

Gary W. Gibbons, Shouxin Chen, Yijun Li, Yisong Yang

arxiv:1409.3352 v2 · 2014-09-11 · astro-ph.CO · 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{MMILDFS2Q5YFG53Z57GYYKL5PT}

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.

Cited by

1 paper in Pith

An M-theory dS maximum from Casimir energies on Riemann-flat manifolds

Receipt and verification

First computed	2026-05-18T01:42:03.477049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6310b1965a8770537779efcd8c297d7cdd6a6fae794868d58b5ab1ffcd649457

Aliases

arxiv: 1409.3352 · arxiv_version: 1409.3352v2 · doi: 10.48550/arxiv.1409.3352 · pith_short_12: MMILDFS2Q5YF · pith_short_16: MMILDFS2Q5YFG53Z · pith_short_8: MMILDFS2

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/MMILDFS2Q5YFG53Z57GYYKL5PT \
  | 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: 6310b1965a8770537779efcd8c297d7cdd6a6fae794868d58b5ab1ffcd649457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9dba275476b979a8dfc3e3daf454ddec72e4c2322032f782938eaf4699d792",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-09-11T08:35:04Z",
    "title_canon_sha256": "09d609bb087844cbc323cb1ffb643ece7bb1a7c5fdaaa674c4a3684213604bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3352",
    "kind": "arxiv",
    "version": 2
  }
}