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Pith Number

pith:TXI6RN6J

pith:2014:TXI6RN6JOIMD4UQNIYP4AWQC76
not attested not anchored not stored refs pending

Discreteness of time in the evolution of the universe

Ahmed Farag Ali, Mir Faizal, Saurya Das

arxiv:1411.5675 v2 · 2014-11-20 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TXI6RN6JOIMD4UQNIYP4AWQC76}

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 2026-05-18T00:48:43.393068Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9dd1e8b7c972183e520d461fc05a02ffb608f12d59e5764db9e5bb5238e6db7a

Aliases

arxiv: 1411.5675 · arxiv_version: 1411.5675v2 · doi: 10.48550/arxiv.1411.5675 · pith_short_12: TXI6RN6JOIMD · pith_short_16: TXI6RN6JOIMD4UQN · pith_short_8: TXI6RN6J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXI6RN6JOIMD4UQNIYP4AWQC76 \
  | 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: 9dd1e8b7c972183e520d461fc05a02ffb608f12d59e5764db9e5bb5238e6db7a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ccc6531f57941dce592e0ac81a36c4205d94766271044b49e2b9751a8e87808f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-20T09:04:32Z",
    "title_canon_sha256": "113f3efdac92f08a5a19a6059408c30648b4cf56a5d6a6cda2f6698aaa9b2ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5675",
    "kind": "arxiv",
    "version": 2
  }
}