Pith Number

pith:R5KTRUVE

pith:2010:R5KTRUVEKLVSIQ3WZ24ZJIHQI7

not attested not anchored not stored refs pending

On the nodal line of the second eigenfunction of the Laplacian over some concave domains in $\mathbb{R}^2$

Donghui Yang

arxiv:1004.5494 v2 · 2010-04-30 · 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{R5KTRUVEKLVSIQ3WZ24ZJIHQI7}

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	2026-05-18T02:24:09.953716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5538d2a452eb244376ceb994a0f047ea4c36f48b0f1985b1b85887c73051a8

Aliases

arxiv: 1004.5494 · arxiv_version: 1004.5494v2 · doi: 10.48550/arxiv.1004.5494 · pith_short_12: R5KTRUVEKLVS · pith_short_16: R5KTRUVEKLVSIQ3W · pith_short_8: R5KTRUVE

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/R5KTRUVEKLVSIQ3WZ24ZJIHQI7 \
  | 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: 8f5538d2a452eb244376ceb994a0f047ea4c36f48b0f1985b1b85887c73051a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db2c152b521813ba5b36343aac9d553af531d0b9191f94822a0b9996916705c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-30T10:35:17Z",
    "title_canon_sha256": "6122f0fafd234fb79e94c4fc60ab564de780bf5719c1d8e4a6e24d9ad9ed4874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5494",
    "kind": "arxiv",
    "version": 2
  }
}