Pith Number

pith:CKFQMNX3

pith:2017:CKFQMNX35PF5BECSUYTJHJKTAQ

not attested not anchored not stored refs pending

Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity

Christian Seifert, Jonathan Rohleder

arxiv:1703.07566 v2 · 2017-03-22 · math.SP · math-ph · 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{CKFQMNX35PF5BECSUYTJHJKTAQ}

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	2026-05-18T00:41:07.214486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128b0636fbebcbd09052a62693a5530427368e2159b530c2fc3625c10176ae1b

Aliases

arxiv: 1703.07566 · arxiv_version: 1703.07566v2 · doi: 10.48550/arxiv.1703.07566 · pith_short_12: CKFQMNX35PF5 · pith_short_16: CKFQMNX35PF5BECS · pith_short_8: CKFQMNX3

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/CKFQMNX35PF5BECSUYTJHJKTAQ \
  | 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: 128b0636fbebcbd09052a62693a5530427368e2159b530c2fc3625c10176ae1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7964abc9cd03d5aff23528698d3e62d9072160d0b6e8807cb20d0605baaa68",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-03-22T08:42:00Z",
    "title_canon_sha256": "36e539b2dd2b412a8df789b8b6fbdf6f8b79cb05829b8d5bb58190cad7ee4ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07566",
    "kind": "arxiv",
    "version": 2
  }
}