Pith Number

pith:YQHAKEIE

pith:2013:YQHAKEIEHSDGOKXJYIXGJUNMBY

not attested not anchored not stored refs pending

Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees

Christian Seifert, Pavel Exner, Peter Stollmann

arxiv:1305.0656 v1 · 2013-05-03 · 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{YQHAKEIEHSDGOKXJYIXGJUNMBY}

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	2026-05-18T01:11:55.541497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40e0511043c86672ae9c22e64d1ac0e14a266dee3933f9dd46145264a1dc0c3

Aliases

arxiv: 1305.0656 · arxiv_version: 1305.0656v1 · doi: 10.48550/arxiv.1305.0656 · pith_short_12: YQHAKEIEHSDG · pith_short_16: YQHAKEIEHSDGOKXJ · pith_short_8: YQHAKEIE

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/YQHAKEIEHSDGOKXJYIXGJUNMBY \
  | 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: c40e0511043c86672ae9c22e64d1ac0e14a266dee3933f9dd46145264a1dc0c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17831fc2eb63930d25aa2b8b46a32d8cbad84f2e6c4613f7fc94f2b3a1456ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-05-03T09:52:28Z",
    "title_canon_sha256": "0ef13226a11efa4dc0e29ea36673f0d7b0711c0296c42cb812ab1c55f020cfaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0656",
    "kind": "arxiv",
    "version": 1
  }
}