Pith Number

pith:OBJ63IJK

pith:2017:OBJ63IJKMFXREQULUP3KYY5ETZ

not attested not anchored not stored refs pending

Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting

Fernando D. Mazzone, Sonia Acinas

arxiv:1708.06657 v2 · 2017-08-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBJ63IJKMFXREQULUP3KYY5ETZ}

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	2026-05-18T00:33:29.868397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7053eda12a616f12428ba3f6ac63a49e50b5d94fc429ffc1c7924bd259fdd5c7

Aliases

arxiv: 1708.06657 · arxiv_version: 1708.06657v2 · doi: 10.48550/arxiv.1708.06657 · pith_short_12: OBJ63IJKMFXR · pith_short_16: OBJ63IJKMFXREQUL · pith_short_8: OBJ63IJK

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/OBJ63IJKMFXREQULUP3KYY5ETZ \
  | 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: 7053eda12a616f12428ba3f6ac63a49e50b5d94fc429ffc1c7924bd259fdd5c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69915a2dd39fe72afc6dbc103e46214b6e58b99163a7767eee05e890af976983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-22T14:51:09Z",
    "title_canon_sha256": "4a58fcc63a66ef0e7b3a07b1929b9f63ddfea51f28935bf97e1eb1556e3fcf33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06657",
    "kind": "arxiv",
    "version": 2
  }
}