pith. sign in
Pith Number

pith:6DUVXIWN

pith:2018:6DUVXIWNXIL2JULPM7LZ4F5VLD
not attested not anchored not stored refs pending

On parabolic equations with critical electromagnetic potentials

Ana Primo, Veronica Felli

arxiv:1810.10378 v1 · 2018-10-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6DUVXIWNXIL2JULPM7LZ4F5VLD}

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 2026-05-18T00:02:23.332614Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f0e95ba2cdba17a4d16f67d79e17b558cd06faf272a81dd37a763feeffbb1c6b

Aliases

arxiv: 1810.10378 · arxiv_version: 1810.10378v1 · doi: 10.48550/arxiv.1810.10378 · pith_short_12: 6DUVXIWNXIL2 · pith_short_16: 6DUVXIWNXIL2JULP · pith_short_8: 6DUVXIWN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6DUVXIWNXIL2JULPM7LZ4F5VLD \
  | 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: f0e95ba2cdba17a4d16f67d79e17b558cd06faf272a81dd37a763feeffbb1c6b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c71cdec0786c892dfed42fdcb758a54f0716c3bebcfaac729c3de7d0dc3c8f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-23T06:26:28Z",
    "title_canon_sha256": "7080ce169c5452561698cd62472783bdfd0e7644eb8946894088cbe020f5c5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10378",
    "kind": "arxiv",
    "version": 1
  }
}