pith. sign in
Pith Number

pith:XZWDZOPV

pith:2018:XZWDZOPV2NIRUYBOP52QU3SGFN
not attested not anchored not stored refs pending

Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations

F. G. D\"uzg\"un, S. Mosconi, V. Vespri

arxiv:1808.05395 v3 · 2018-08-16 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XZWDZOPV2NIRUYBOP52QU3SGFN}

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 2026-05-17T23:53:51.010592Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be6c3cb9f5d3511a602e7f750a6e462b4033f9803bf7edea7972e659dd298bb0

Aliases

arxiv: 1808.05395 · arxiv_version: 1808.05395v3 · doi: 10.48550/arxiv.1808.05395 · pith_short_12: XZWDZOPV2NIR · pith_short_16: XZWDZOPV2NIRUYBO · pith_short_8: XZWDZOPV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XZWDZOPV2NIRUYBOP52QU3SGFN \
  | 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: be6c3cb9f5d3511a602e7f750a6e462b4033f9803bf7edea7972e659dd298bb0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "555d71162b2db872d0f1a7814c965a43cc480673fea5dfaf706e911a0f6dabf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-16T09:51:33Z",
    "title_canon_sha256": "2d4409f6bdf0e76c050da14b3fbe3376e096e004762dcb438c07a0644b331a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05395",
    "kind": "arxiv",
    "version": 3
  }
}