Pith. sign in
Pith Number

pith:2LIFQ2O7

pith:2023:2LIFQ2O7FU2SZW6UJZAOGSDLB5
not attested not anchored not stored refs pending

Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces

Lars-Erik Persson, Niyaz Tokmagambetov, Serikbol Shaimardan

arxiv:2301.07381 v1 · 2023-01-18 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2LIFQ2O7FU2SZW6UJZAOGSDLB5}

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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 2026-07-05T05:34:08.528964Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d2d05869df2d352cdbd44e40e3486b0f56cf863f08dbfcd5f4801f8c334b0d98

Aliases

arxiv: 2301.07381 · arxiv_version: 2301.07381v1 · doi: 10.48550/arxiv.2301.07381 · pith_short_12: 2LIFQ2O7FU2S · pith_short_16: 2LIFQ2O7FU2SZW6U · pith_short_8: 2LIFQ2O7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LIFQ2O7FU2SZW6UJZAOGSDLB5 \
  | 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: d2d05869df2d352cdbd44e40e3486b0f56cf863f08dbfcd5f4801f8c334b0d98
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cfa5c50ef5d16ce801725633c81bc6f6460ae8069f9b1dd44d83c03ce049b4dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-18T09:17:29Z",
    "title_canon_sha256": "e8a657f1e27602d48c75bee2148f823c202fc14f2109395a68c1cf62b6de6cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07381",
    "kind": "arxiv",
    "version": 1
  }
}