Pith Number

pith:QXUHMVW6

pith:2018:QXUHMVW6MT2HH4S74E5PJR5ZLK

not attested not anchored not stored refs pending

A one point non-concentration estimate for Laplace eigenfunctions on polygons

Hans Christianson

arxiv:1808.03332 v1 · 2018-08-09 · math.AP · 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{QXUHMVW6MT2HH4S74E5PJR5ZLK}

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	2026-05-18T00:08:27.600608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e87656de64f473f25fe13af4c7b95a89997fa8de4a666874f6d7a25e042c4a

Aliases

arxiv: 1808.03332 · arxiv_version: 1808.03332v1 · doi: 10.48550/arxiv.1808.03332 · pith_short_12: QXUHMVW6MT2H · pith_short_16: QXUHMVW6MT2HH4S7 · pith_short_8: QXUHMVW6

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/QXUHMVW6MT2HH4S74E5PJR5ZLK \
  | 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: 85e87656de64f473f25fe13af4c7b95a89997fa8de4a666874f6d7a25e042c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36e40a90e748acf1a7781dee555eb45956307e6308fb732b4a0873f0d94492f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-09T20:09:37Z",
    "title_canon_sha256": "2bd637295b503364afeddfceb875a47706e8071125e67d714e84298fab22e5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03332",
    "kind": "arxiv",
    "version": 1
  }
}