Pith Number

pith:V3AOVMNK

pith:2015:V3AOVMNKNIBUWMEKNL7VW6F4I6

not attested not anchored not stored refs pending

$L^p$-bounds on spectral clusters associated to polygonal domains

G. Austin Ford, Jeremy L. Marzuola, Matthew D. Blair

arxiv:1504.00079 v3 · 2015-04-01 · 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{V3AOVMNKNIBUWMEKNL7VW6F4I6}

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	2026-05-18T01:18:54.385909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec0eab1aa6a034b308a6aff5b78bc47926eeea4367ea84e3089a863a956de3e

Aliases

arxiv: 1504.00079 · arxiv_version: 1504.00079v3 · doi: 10.48550/arxiv.1504.00079 · pith_short_12: V3AOVMNKNIBU · pith_short_16: V3AOVMNKNIBUWMEK · pith_short_8: V3AOVMNK

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/V3AOVMNKNIBUWMEKNL7VW6F4I6 \
  | 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: aec0eab1aa6a034b308a6aff5b78bc47926eeea4367ea84e3089a863a956de3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d893fd97a4a34c57d9535fed74c28712b6819d38e0613505ace75d8eabdadd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-01T01:29:06Z",
    "title_canon_sha256": "7e642055dbe9e757f0069c6e30a9172820388d3c52428e25beb58dcc4730b9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00079",
    "kind": "arxiv",
    "version": 3
  }
}