Pith Number

pith:NBJQ3ZA4

pith:2025:NBJQ3ZA4EXQM4LPP24PRQLD4YF

not attested not anchored not stored refs pending

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

Mateusz Dembny, Miko{\l}aj Sier\.z\k{e}ga

arxiv:2506.08187 v1 · 2025-06-09 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBJQ3ZA4EXQM4LPP24PRQLD4YF}

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	2026-07-05T11:18:46.021408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68530de41c25e0ce2defd71f182c7cc165a877a1a263349f771d56c0815a2b5d

Aliases

arxiv: 2506.08187 · arxiv_version: 2506.08187v1 · doi: 10.48550/arxiv.2506.08187 · pith_short_12: NBJQ3ZA4EXQM · pith_short_16: NBJQ3ZA4EXQM4LPP · pith_short_8: NBJQ3ZA4

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/NBJQ3ZA4EXQM4LPP24PRQLD4YF \
  | 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: 68530de41c25e0ce2defd71f182c7cc165a877a1a263349f771d56c0815a2b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50072a95c1821e227ff5ef47fdf8604ea6d23ea5392df53506307d4871ccfe96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T19:52:43Z",
    "title_canon_sha256": "457ea712c5bec771cc82c8f15ed647d3818d7cc0d46af06d2af9107d472837be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08187",
    "kind": "arxiv",
    "version": 1
  }
}