Pith Number

pith:LLQUPU24

pith:2026:LLQUPU24ZIRQQDHHS2QIMAU5O7

not attested not anchored not stored refs pending

A spectral approach to the narrow escape problem in two-dimensional domains

Louis Carillo, Thomas Normand, Tony Leli\`evre, Urbain Vaes

arxiv:2608.05007 v1 · 2026-08-05 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLQUPU24ZIRQQDHHS2QIMAU5O7}

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	2026-08-06T01:48:02.456857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae147d35cca23080ce796a086029d77ceb6431233dac3ad812591e86cf7d488

Aliases

arxiv: 2608.05007 · arxiv_version: 2608.05007v1 · doi: 10.48550/arxiv.2608.05007 · pith_short_12: LLQUPU24ZIRQ · pith_short_16: LLQUPU24ZIRQQDHH · pith_short_8: LLQUPU24

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/LLQUPU24ZIRQQDHHS2QIMAU5O7 \
  | 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: 5ae147d35cca23080ce796a086029d77ceb6431233dac3ad812591e86cf7d488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49d077802df2258f22a375c98f99cea098954a657e65e7e4e2566b914f91bff",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-05T16:13:19Z",
    "title_canon_sha256": "f33df5935e7dd2ec8a373e9cade9b784f67e5eef1f448353490a75379109f114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05007",
    "kind": "arxiv",
    "version": 1
  }
}