Pith Number

pith:WNQWR2ZC

pith:2014:WNQWR2ZCGJUNZSHERC4SG2O3JT

not attested not anchored not stored refs pending

The first eigenvalue of the $p-$Laplacian on quantum graphs

Julio D. Rossi, Leandro M. Del Pezzo

arxiv:1408.5935 v1 · 2014-08-25 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNQWR2ZCGJUNZSHERC4SG2O3JT}

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	2026-05-18T01:03:44.610516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36168eb223268dcc8e488b92369db4cc15655a909cb8242176fdd04805450d2

Aliases

arxiv: 1408.5935 · arxiv_version: 1408.5935v1 · doi: 10.48550/arxiv.1408.5935 · pith_short_12: WNQWR2ZCGJUN · pith_short_16: WNQWR2ZCGJUNZSHE · pith_short_8: WNQWR2ZC

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/WNQWR2ZCGJUNZSHERC4SG2O3JT \
  | 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: b36168eb223268dcc8e488b92369db4cc15655a909cb8242176fdd04805450d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd04022d26c14f34cef1cc35ed62976e7b81d3ad96327cba2461e3364063fe80",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-25T21:49:09Z",
    "title_canon_sha256": "fa5ad2e635e3fc4406cd88de80e8618c4301dfe4b6c7677db41bb823b2020f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5935",
    "kind": "arxiv",
    "version": 1
  }
}