Pith Number

pith:Q4NHW6UV

pith:2018:Q4NHW6UVZ7LIAAQEWITBHE2SKV

not attested not anchored not stored refs pending

Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1812.01933 v3 · 2018-12-05 · math.AP

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\usepackage{pith}
\pithnumber{Q4NHW6UVZ7LIAAQEWITBHE2SKV}

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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.

Cited by

1 paper in Pith

Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity

Receipt and verification

First computed	2026-07-05T03:31:20.032810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871a7b7a95cfd6800204b2261393525575f390bdf14014b8103dd120981577de

Aliases

arxiv: 1812.01933 · arxiv_version: 1812.01933v3 · doi: 10.48550/arxiv.1812.01933 · pith_short_12: Q4NHW6UVZ7LI · pith_short_16: Q4NHW6UVZ7LIAAQE · pith_short_8: Q4NHW6UV

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/Q4NHW6UVZ7LIAAQEWITBHE2SKV \
  | 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: 871a7b7a95cfd6800204b2261393525575f390bdf14014b8103dd120981577de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048207e26fb99d6f7c5eebc881aa79c25ca2d6c6abcbe3b3d770a3251c4cdc8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-05T11:57:35Z",
    "title_canon_sha256": "42964e1e83eee5aa24533c93a1bc0c8a116e3179dd0e23c214bcb1f584facc31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01933",
    "kind": "arxiv",
    "version": 3
  }
}