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Pith Number

pith:LIBTUE7K

pith:2013:LIBTUE7KIVVH6EIJ3PLI4N7FKD
not attested not anchored not stored refs pending

Friedmann equations from emergence of cosmic space

Ahmad Sheykhi

arxiv:1304.3054 v2 · 2013-04-10 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LIBTUE7KIVVH6EIJ3PLI4N7FKD}

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 2026-05-18T03:27:42.380661Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a033a13ea456a7f1109dbd68e37e550edf6bc14e83aedd7ac7bc9d35d60969c

Aliases

arxiv: 1304.3054 · arxiv_version: 1304.3054v2 · doi: 10.48550/arxiv.1304.3054 · pith_short_12: LIBTUE7KIVVH · pith_short_16: LIBTUE7KIVVH6EIJ · pith_short_8: LIBTUE7K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LIBTUE7KIVVH6EIJ3PLI4N7FKD \
  | 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: 5a033a13ea456a7f1109dbd68e37e550edf6bc14e83aedd7ac7bc9d35d60969c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ca66c79f22fa04abe84cc07552391e8931eb57c39c6d1a7771d0a7e9dc016ca0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-04-10T19:01:19Z",
    "title_canon_sha256": "03e3ccda7218e9c6511fd26ebf2fa14abdc6bb28425c3dc1d3628e362440924d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3054",
    "kind": "arxiv",
    "version": 2
  }
}