Pith Number

pith:IQJ44K2E

pith:2015:IQJ44K2EIE7PBWXZ4DIB7HWRXX

not attested not anchored not stored refs pending

A note on spectral properties of the $p$-adic tree

Kaoru Sakai, Slawomir Klimek, Sumedha Rathnayake

arxiv:1503.03053 v1 · 2015-03-10 · 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{IQJ44K2EIE7PBWXZ4DIB7HWRXX}

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	2026-05-18T01:18:47.588121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4413ce2b44413ef0daf9e0d01f9ed1bdd6894ea1e09cebd1b2af0a014cabddca

Aliases

arxiv: 1503.03053 · arxiv_version: 1503.03053v1 · doi: 10.48550/arxiv.1503.03053 · pith_short_12: IQJ44K2EIE7P · pith_short_16: IQJ44K2EIE7PBWXZ · pith_short_8: IQJ44K2E

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/IQJ44K2EIE7PBWXZ4DIB7HWRXX \
  | 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: 4413ce2b44413ef0daf9e0d01f9ed1bdd6894ea1e09cebd1b2af0a014cabddca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb12f4e0cb75e3b5269013aee9a795bbd81ad7d08cb9cc8fa25ac9e1ac6bce5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-03-10T19:50:29Z",
    "title_canon_sha256": "7b1ddad7810eafdf52d21c969026bf44e91dd9d18b207f06351cb5ac818dc8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03053",
    "kind": "arxiv",
    "version": 1
  }
}