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Pith Number

pith:5SJTILZ2

pith:2013:5SJTILZ2EZ7CA5JYLIVBWMD25K
not attested not anchored not stored refs pending

Multisymplectic variational integrators and space/time symplecticity

Fran\c{c}ois Demoures, Fran\c{c}ois Gay-Balmaz, Tudor S. Ratiu

arxiv:1310.4772 v1 · 2013-10-17 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5SJTILZ2EZ7CA5JYLIVBWMD25K}

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 2026-05-18T03:10:12.825784Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec93342f3a267e2075385a2a1b307aea8b350c85b4b906bb9b3bf8e20ec0c891

Aliases

arxiv: 1310.4772 · arxiv_version: 1310.4772v1 · doi: 10.48550/arxiv.1310.4772 · pith_short_12: 5SJTILZ2EZ7C · pith_short_16: 5SJTILZ2EZ7CA5JY · pith_short_8: 5SJTILZ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5SJTILZ2EZ7CA5JYLIVBWMD25K \
  | 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: ec93342f3a267e2075385a2a1b307aea8b350c85b4b906bb9b3bf8e20ec0c891
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b364546d6ec2582ce6b2d6645ba8aea6e3ac893482059bac155b24e256e8a027",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-17T17:03:01Z",
    "title_canon_sha256": "2c09bdfe91284d946b51d048be762ec5934c4c144ff560395ffd7224896b3638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4772",
    "kind": "arxiv",
    "version": 1
  }
}