Pith Number

pith:DIYS3D7K

pith:2013:DIYS3D7KLGSOZWCUFCBW3TTGYB

not attested not anchored not stored refs pending

Bounds on the Principal Frequency of the $p$-Laplacian

Guillaume Poliquin

arxiv:1304.5131 v3 · 2013-04-18 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIYS3D7KLGSOZWCUFCBW3TTGYB}

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	2026-05-18T02:41:17.248022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a312d8fea59a4ecd85428836dce66c057017a6ea5bb2d0b6575666d638e288a

Aliases

arxiv: 1304.5131 · arxiv_version: 1304.5131v3 · doi: 10.48550/arxiv.1304.5131 · pith_short_12: DIYS3D7KLGSO · pith_short_16: DIYS3D7KLGSOZWCU · pith_short_8: DIYS3D7K

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/DIYS3D7KLGSOZWCUFCBW3TTGYB \
  | 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: 1a312d8fea59a4ecd85428836dce66c057017a6ea5bb2d0b6575666d638e288a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432028193293737ebffc1484278848a29634e280f491fd3d9150bc460e7c7fa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-04-18T13:45:47Z",
    "title_canon_sha256": "ef73620853e062d4fc832d251403cb23e3fe690289c12ae69101767b79c0e03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5131",
    "kind": "arxiv",
    "version": 3
  }
}