Pith Number

pith:QLJV5M35

pith:2017:QLJV5M35VLQAGOLSXSZHIA6POR

not attested not anchored not stored refs pending

Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball

Rui A. C. Ferreira

arxiv:1706.04960 v2 · 2017-06-15 · 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{QLJV5M35VLQAGOLSXSZHIA6POR}

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	2026-05-17T23:55:34.739209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d35eb37daae0033972bcb27403cf74771b4440d5bc147330fc76221f18cb13

Aliases

arxiv: 1706.04960 · arxiv_version: 1706.04960v2 · doi: 10.48550/arxiv.1706.04960 · pith_short_12: QLJV5M35VLQA · pith_short_16: QLJV5M35VLQAGOLS · pith_short_8: QLJV5M35

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/QLJV5M35VLQAGOLSXSZHIA6POR \
  | 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: 82d35eb37daae0033972bcb27403cf74771b4440d5bc147330fc76221f18cb13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff58a6fa41328313322c9e7e1654cff28dc9ab9a90977d798e08d99283bbc799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-15T16:44:07Z",
    "title_canon_sha256": "c0a3d4b8b52a232d2825d7b64086bbaee9363af971400fc5b3139dcfbddc37d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04960",
    "kind": "arxiv",
    "version": 2
  }
}