Pith Number

pith:J3LG7A2F

pith:2015:J3LG7A2FB4EFMH7AEU7HEDMTU4

not attested not anchored not stored refs pending

Tunneling for the Robin Laplacian in smooth planar domains

Ayman Kachmar, Bernard Helffer (LM-Orsay, LMJL), Nicolas Raymond (IRMAR)

arxiv:1509.03986 v3 · 2015-09-14 · 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{J3LG7A2FB4EFMH7AEU7HEDMTU4}

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	2026-05-18T01:20:58.955028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed66f83450f08561fe0253e720d93a72802f598172f22d9fe56dcf998b33f32

Aliases

arxiv: 1509.03986 · arxiv_version: 1509.03986v3 · doi: 10.48550/arxiv.1509.03986 · pith_short_12: J3LG7A2FB4EF · pith_short_16: J3LG7A2FB4EFMH7A · pith_short_8: J3LG7A2F

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/J3LG7A2FB4EFMH7AEU7HEDMTU4 \
  | 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: 4ed66f83450f08561fe0253e720d93a72802f598172f22d9fe56dcf998b33f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1b8354db09aeb376767b2222d6c12151ec953f13e82b5ce088bee842ac9660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-14T08:30:26Z",
    "title_canon_sha256": "1f0f5b850ca4120c27411e5ac93c6294fc1cd6c8c052a26b6f7b8f08243f8abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03986",
    "kind": "arxiv",
    "version": 3
  }
}