Pith Number

pith:5WLLTX76

pith:2026:5WLLTX76DIXUY2IX2UEEBAZAEQ

not attested not anchored not stored refs pending

Capacitary estimates for solutions to nonlocal Dirichlet problems

Marvin Weidner, Minhyun Kim, Se-Chan Lee

arxiv:2608.09503 v1 · 2026-08-10 · 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{5WLLTX76DIXUY2IX2UEEBAZAEQ}

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	2026-08-11T02:24:21.386799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed96b9dffe1a2f4c6917d5084083202410a2d1544d967701425a2f20aa6cf366

Aliases

arxiv: 2608.09503 · arxiv_version: 2608.09503v1 · doi: 10.48550/arxiv.2608.09503 · pith_short_12: 5WLLTX76DIXU · pith_short_16: 5WLLTX76DIXUY2IX · pith_short_8: 5WLLTX76

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/5WLLTX76DIXUY2IX2UEEBAZAEQ \
  | 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: ed96b9dffe1a2f4c6917d5084083202410a2d1544d967701425a2f20aa6cf366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441ba974ea11ab6aca24684742f8e61c41e7a65a6ddaa2927a9b5dc6ac0e5ea6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-10T12:06:47Z",
    "title_canon_sha256": "04fc335b6e186c5cbffc2d0c325f6bdc09e73f2e47fbeb9ffb6789151b85116c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09503",
    "kind": "arxiv",
    "version": 1
  }
}