Pith Number

pith:RIPKALPY

pith:2014:RIPKALPYTGSCJQTF7ZQVOCRJK3

not attested not anchored not stored refs pending

Berkovich spectra of elements in Banach Rings

Chi-Keung Ng, Chi-Wai Leung

arxiv:1410.5893 v1 · 2014-10-22 · math.FA · math.AC · math.NT · math.RA · 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{RIPKALPYTGSCJQTF7ZQVOCRJK3}

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	2026-05-18T02:39:31.503877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a1ea02df899a424c265fe61570a2956c0b5306a0b1121ee84f1b98d0f678c57

Aliases

arxiv: 1410.5893 · arxiv_version: 1410.5893v1 · doi: 10.48550/arxiv.1410.5893 · pith_short_12: RIPKALPYTGSC · pith_short_16: RIPKALPYTGSCJQTF · pith_short_8: RIPKALPY

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/RIPKALPYTGSCJQTF7ZQVOCRJK3 \
  | 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: 8a1ea02df899a424c265fe61570a2956c0b5306a0b1121ee84f1b98d0f678c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0daeed85782c8df95b8c6e7cae088edabe6f6de0218e14713d808ceb12728699",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT",
      "math.RA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-22T01:31:00Z",
    "title_canon_sha256": "3535e692134aa99b6e71008c7a52fba43bb66cf791f7d0a0dd085dbd55ac7593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5893",
    "kind": "arxiv",
    "version": 1
  }
}