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Pith Number

pith:TOYOMJRS

pith:2015:TOYOMJRSQPDPE2BHTLEWAAHYA4
not attested not anchored not stored refs pending

Lie systems, Lie symmetries and reciprocal transformations

C. Sard\'on

arxiv:1508.00726 v1 · 2015-08-04 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TOYOMJRSQPDPE2BHTLEWAAHYA4}

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 2026-05-18T01:35:53.511902Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9bb0e6263283c6f268279ac96000f807307a24e65d9f2d71e592dd31b401fa20

Aliases

arxiv: 1508.00726 · arxiv_version: 1508.00726v1 · doi: 10.48550/arxiv.1508.00726 · pith_short_12: TOYOMJRSQPDP · pith_short_16: TOYOMJRSQPDPE2BH · pith_short_8: TOYOMJRS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TOYOMJRSQPDPE2BHTLEWAAHYA4 \
  | 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: 9bb0e6263283c6f268279ac96000f807307a24e65d9f2d71e592dd31b401fa20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b48fa67cf940bf07aaa1eb40d026430a4f277de78cd5a29ee54a1df3d92b842f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-04T10:31:15Z",
    "title_canon_sha256": "2f7ffc4706f2f641f9ef899294d2b9a74ee738cc2ade9e47e01814f0c585a2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00726",
    "kind": "arxiv",
    "version": 1
  }
}