Pith Number

pith:QPLSFC5G

pith:2025:QPLSFC5GMMWRO5FPUFQ6BLWKF3

not attested not anchored not stored refs pending

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates

Jack Thompson

arxiv:2507.09219 v1 · 2025-07-12 · 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{QPLSFC5GMMWRO5FPUFQ6BLWKF3}

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	2026-07-05T11:36:05.806026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d7228ba6632d1774afa161e0aeca2efb00a5d42fb42d69dd7214c48651f32f

Aliases

arxiv: 2507.09219 · arxiv_version: 2507.09219v1 · doi: 10.48550/arxiv.2507.09219 · pith_short_12: QPLSFC5GMMWR · pith_short_16: QPLSFC5GMMWRO5FP · pith_short_8: QPLSFC5G

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/QPLSFC5GMMWRO5FPUFQ6BLWKF3 \
  | 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: 83d7228ba6632d1774afa161e0aeca2efb00a5d42fb42d69dd7214c48651f32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c487305ef435d1c5d025ee46cb6ee74f403c5bff9ec8e88b664cacdb7d206d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-12T09:32:38Z",
    "title_canon_sha256": "476aba029c13b366f9ae33adad4e1dec150b09ac70dec2fd7e2e04a1dbe5776e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09219",
    "kind": "arxiv",
    "version": 1
  }
}