Pith Number

pith:QKAMYKPK

pith:2018:QKAMYKPKIPW5RJ6UJTBFWSZSZA

not attested not anchored not stored refs pending

On the parabolic Harnack inequality for non-local diffusion equations

Dominik Dier, Juhana Siljander, Jukka Kemppainen, Rico Zacher

arxiv:1806.04603 v1 · 2018-06-12 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKAMYKPKIPW5RJ6UJTBFWSZSZA}

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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

Time fractional diffusion equations: solution concepts, regularity and long-time behaviour

Receipt and verification

First computed	2026-05-18T00:13:33.257464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8280cc29ea43edd8a7d44cc25b4b32c828a8d4f6302d28c843fd58944496f321

Aliases

arxiv: 1806.04603 · arxiv_version: 1806.04603v1 · doi: 10.48550/arxiv.1806.04603 · pith_short_12: QKAMYKPKIPW5 · pith_short_16: QKAMYKPKIPW5RJ6U · pith_short_8: QKAMYKPK

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/QKAMYKPKIPW5RJ6UJTBFWSZSZA \
  | 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: 8280cc29ea43edd8a7d44cc25b4b32c828a8d4f6302d28c843fd58944496f321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05f4309bd4aa3f0ed0551ca52894c17a31e5d082c0cd652c7455d2e99d02286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-12T15:23:33Z",
    "title_canon_sha256": "443a3eb9d0a8cb68b812a4744cbc2e02b648002591d91cdcfbe4b3e9fbdcd234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04603",
    "kind": "arxiv",
    "version": 1
  }
}