Pith Number

pith:UA2AKNIY

pith:2010:UA2AKNIYNQAYWXV2PHFFHCWLZ4

not attested not anchored not stored refs pending

On the uniform distribution of the Pr\"{u}fer angles and its implication to a sharp spectral transition of Jacobi matrices with randomly sparse perturbations

D. H. U. Marchetti, S. L. Carvalho, W. F. Wreszinski

arxiv:1006.2849 v2 · 2010-06-14 · 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{UA2AKNIYNQAYWXV2PHFFHCWLZ4}

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	2026-05-18T04:09:35.133618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0340535186c018b5eba79ca538acbcf1fb555bc0cac6f3937744f9b7dfc5d99

Aliases

arxiv: 1006.2849 · arxiv_version: 1006.2849v2 · doi: 10.48550/arxiv.1006.2849 · pith_short_12: UA2AKNIYNQAY · pith_short_16: UA2AKNIYNQAYWXV2 · pith_short_8: UA2AKNIY

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/UA2AKNIYNQAYWXV2PHFFHCWLZ4 \
  | 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: a0340535186c018b5eba79ca538acbcf1fb555bc0cac6f3937744f9b7dfc5d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7622e8447edd32219e9b25be1ba3a4319685d08c13e6b989ecb74ce45b469953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-14T21:31:02Z",
    "title_canon_sha256": "9d415680cbea6556b61860cee60528339798d89b6e7fc4ddc23e45784eab6fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2849",
    "kind": "arxiv",
    "version": 2
  }
}