Pith Number

pith:3Q3X22SU

pith:2015:3Q3X22SUAKBTCO32AKVKC2H3XH

not attested not anchored not stored refs pending

Polynomials with small norm on compact Riemannian homogeneous manifolds

A. Kushpel

arxiv:1505.02182 v1 · 2015-04-25 · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Q3X22SUAKBTCO32AKVKC2H3XH}

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	2026-05-18T02:16:19.677952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc377d6a540283313b7a02aaa168fbb9e7840095d732991b9c8b0439d43b0b27

Aliases

arxiv: 1505.02182 · arxiv_version: 1505.02182v1 · doi: 10.48550/arxiv.1505.02182 · pith_short_12: 3Q3X22SUAKBT · pith_short_16: 3Q3X22SUAKBTCO32 · pith_short_8: 3Q3X22SU

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/3Q3X22SUAKBTCO32AKVKC2H3XH \
  | 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: dc377d6a540283313b7a02aaa168fbb9e7840095d732991b9c8b0439d43b0b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219251043dba29d7482da76f3342d29dee9b2a9c54ef34214dba048da4945083",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-25T16:34:30Z",
    "title_canon_sha256": "951252866bf2d73769f7de8ada166b27f8adb9bdeb13a9eaa05b8dd541588f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02182",
    "kind": "arxiv",
    "version": 1
  }
}