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Pith Number

pith:OTPNMUCP

pith:2017:OTPNMUCPAIJUH4QD3WH25NVNIL
not attested not anchored not stored refs pending

Variational order for forced Lagrangian systems

D. Mart\'in de Diego, R. Sato Mart\'in de Almagro

arxiv:1712.09377 v1 · 2017-12-26 · math-ph · math.DG · math.MP · math.NA · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OTPNMUCPAIJUH4QD3WH25NVNIL}

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 2026-05-18T00:09:16.905357Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

74ded6504f021343f203dd8faeb6ad42e253dc863a860392e69974515a869e43

Aliases

arxiv: 1712.09377 · arxiv_version: 1712.09377v1 · doi: 10.48550/arxiv.1712.09377 · pith_short_12: OTPNMUCPAIJU · pith_short_16: OTPNMUCPAIJUH4QD · pith_short_8: OTPNMUCP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OTPNMUCPAIJUH4QD3WH25NVNIL \
  | 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: 74ded6504f021343f203dd8faeb6ad42e253dc863a860392e69974515a869e43
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c035f430a99514b2d8d88db0e17234edf25db9abd6bcd3beba1788b9a0d89fca",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.NA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-26T19:24:56Z",
    "title_canon_sha256": "a15509830859f982d601e8c851669d48924666485960cc3b8344393f3f50090c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09377",
    "kind": "arxiv",
    "version": 1
  }
}