Pith Number

pith:2XPOOPWE

pith:2014:2XPOOPWESSJBFCBT7OPVO4K6W4

not attested not anchored not stored refs pending

The first non-zero Neumann $p-$fractional eigenvalue

Ariel M. Salort, Leandro M. Del Pezzo

arxiv:1409.0840 v2 · 2014-09-02 · 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{2XPOOPWESSJBFCBT7OPVO4K6W4}

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	2026-05-18T02:25:32.527873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dee73ec49492128833fb9f57715eb706dd769f7932385e623d988c91040fda

Aliases

arxiv: 1409.0840 · arxiv_version: 1409.0840v2 · doi: 10.48550/arxiv.1409.0840 · pith_short_12: 2XPOOPWESSJB · pith_short_16: 2XPOOPWESSJBFCBT · pith_short_8: 2XPOOPWE

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/2XPOOPWESSJBFCBT7OPVO4K6W4 \
  | 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: d5dee73ec49492128833fb9f57715eb706dd769f7932385e623d988c91040fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eea425a35b88fb2ce4ff04532b37f016750aee02eb43795fa78e5d5df6a21c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-02T19:45:18Z",
    "title_canon_sha256": "6912ded40ce0ce8aa94471692390c9389e4e05adfc554be77559693114c056b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0840",
    "kind": "arxiv",
    "version": 2
  }
}