Pith Number

pith:E5DT5BSH

pith:2018:E5DT5BSHXSDNXQXD3QTI4PJ75I

not attested not anchored not stored refs pending

Euler-Lagrange equations for functionals defined on Fr\'echet manifolds

Jos\'e A Vallejo

arxiv:1805.09993 v1 · 2018-05-25 · math.FA · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5DT5BSHXSDNXQXD3QTI4PJ75I}

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	2026-05-18T00:14:58.558490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27473e8647bc86dbc2e3dc268e3d3fea30cc2bc6e7bace23a492a147235ed64a

Aliases

arxiv: 1805.09993 · arxiv_version: 1805.09993v1 · doi: 10.48550/arxiv.1805.09993 · pith_short_12: E5DT5BSHXSDN · pith_short_16: E5DT5BSHXSDNXQXD · pith_short_8: E5DT5BSH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E5DT5BSHXSDNXQXD3QTI4PJ75I \
  | 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: 27473e8647bc86dbc2e3dc268e3d3fea30cc2bc6e7bace23a492a147235ed64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a56ff044b95712dda0d56558905a72d130fde2ec06968ffeec2e83db19e283c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-25T06:16:59Z",
    "title_canon_sha256": "288f4264bbe98d587bca413c039c930129d061a2b5715f84e85bd203ccb2fa9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09993",
    "kind": "arxiv",
    "version": 1
  }
}