pith. sign in
Pith Number

pith:5RWSHXFW

pith:2018:5RWSHXFWYM7VYTMHDTNWNIBM33
not attested not anchored not stored refs pending

Symmetries of Differential Equations in Cosmology

Andronikos Paliathanasis, Michael Tsamparlis

arxiv:1806.05888 v1 · 2018-06-15 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5RWSHXFWYM7VYTMHDTNWNIBM33}

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 2026-05-18T00:13:09.152744Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec6d23dcb6c33f5c4d871cdb66a02cdef32b8361a3f7e48ffd82259fa062ccdd

Aliases

arxiv: 1806.05888 · arxiv_version: 1806.05888v1 · doi: 10.48550/arxiv.1806.05888 · pith_short_12: 5RWSHXFWYM7V · pith_short_16: 5RWSHXFWYM7VYTMH · pith_short_8: 5RWSHXFW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5RWSHXFWYM7VYTMHDTNWNIBM33 \
  | 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: ec6d23dcb6c33f5c4d871cdb66a02cdef32b8361a3f7e48ffd82259fa062ccdd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f4b277bf20ff50aef216d32543ebfeb892ddaa27660fae5795e6255eda2c6785",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-15T10:27:13Z",
    "title_canon_sha256": "f06e850d1f70d09da339463cf266e6a1782943ce20e4f5ebdc432fee8ea2dd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05888",
    "kind": "arxiv",
    "version": 1
  }
}