Pith Number

pith:WKHD6QTL

pith:2013:WKHD6QTLUQF37OYY7SIT4ZPYZK

not attested not anchored not stored refs pending

Completeness of boundary traces of eigenfunctions

Andrew Hassell, Hamid Hezari, Steve Zelditch, Xiaolong Han

arxiv:1311.0935 v3 · 2013-11-05 · 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{WKHD6QTLUQF37OYY7SIT4ZPYZK}

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	2026-05-18T01:29:38.634784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28e3f426ba40bbfbb18fc913e65f8cab71910a1d224739ab943bf94826f890c

Aliases

arxiv: 1311.0935 · arxiv_version: 1311.0935v3 · doi: 10.48550/arxiv.1311.0935 · pith_short_12: WKHD6QTLUQF3 · pith_short_16: WKHD6QTLUQF37OYY · pith_short_8: WKHD6QTL

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/WKHD6QTLUQF37OYY7SIT4ZPYZK \
  | 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: b28e3f426ba40bbfbb18fc913e65f8cab71910a1d224739ab943bf94826f890c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c826130a57f8a559ee7ca88dd81a73535c6050a2b2fe3e132fa8ee5ed142dd",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-05T00:38:56Z",
    "title_canon_sha256": "393ed9be087608f0e317cc706d151162571c4c0d6bdbaf5c20d66d3c9c390317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0935",
    "kind": "arxiv",
    "version": 3
  }
}