Pith Number

pith:XU643XP4

pith:2018:XU643XP4H2UG25EPQLIHWYJGWY

not attested not anchored not stored refs pending

Optimal partitions for Robin Laplacian eigenvalues

Alessandro Giacomini, Dorin Bucur, Ilaria Fragal\`a

arxiv:1803.03813 v1 · 2018-03-10 · 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{XU643XP4H2UG25EPQLIHWYJGWY}

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	2026-05-18T00:21:33.715497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3dcdddfc3ea86d748f82d07b6126b61d2ea1fb9a25d184963be5972fbbdedb

Aliases

arxiv: 1803.03813 · arxiv_version: 1803.03813v1 · doi: 10.48550/arxiv.1803.03813 · pith_short_12: XU643XP4H2UG · pith_short_16: XU643XP4H2UG25EP · pith_short_8: XU643XP4

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/XU643XP4H2UG25EPQLIHWYJGWY \
  | 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: bd3dcdddfc3ea86d748f82d07b6126b61d2ea1fb9a25d184963be5972fbbdedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "518bed1d29b39c43a4629660c5f8f14f28b6a64800bd38280e0d51fbbee5572f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-10T14:21:16Z",
    "title_canon_sha256": "b9b8ff3e770047e5aa630b3ed0a823d22d13c5f5da2cbd8a64d3c3af24e4de21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03813",
    "kind": "arxiv",
    "version": 1
  }
}