Pith Number

pith:L57MFEZ7

pith:2025:L57MFEZ755UXTKJSQVCPDXC6WQ

not attested not anchored not stored refs pending

Asymptotic analysis on narrow tubes: narrow escape problems and diffusion processes

Wen-Tai Hsu

arxiv:2508.15060 v2 · 2025-08-20 · 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{L57MFEZ755UXTKJSQVCPDXC6WQ}

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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

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

Receipt and verification

First computed	2026-07-05T12:03:51.428784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7ec2933fef6979a9328544f1dc5eb4198b3c17b53c9e4628096063fd21937b

Aliases

arxiv: 2508.15060 · arxiv_version: 2508.15060v2 · doi: 10.48550/arxiv.2508.15060 · pith_short_12: L57MFEZ755UX · pith_short_16: L57MFEZ755UXTKJS · pith_short_8: L57MFEZ7

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/L57MFEZ755UXTKJSQVCPDXC6WQ \
  | 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: 5f7ec2933fef6979a9328544f1dc5eb4198b3c17b53c9e4628096063fd21937b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f64ccabafc66b915e40dc34e6950c2a28cc8cb48a9710b0c90cad5968e820b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-20T20:48:17Z",
    "title_canon_sha256": "ee3437c2c6d06a3769a70e5f9ce8e46b56bb35fe3ff9351fd6ed3e67b837b993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15060",
    "kind": "arxiv",
    "version": 2
  }
}