Pith Number

pith:7IRX4XEZ

pith:2013:7IRX4XEZ6HOJ5OJ5ME7HHA7LCX

not attested not anchored not stored refs pending

Almost universality of a sum of norms

Jeongho Park

arxiv:1302.2457 v4 · 2013-02-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IRX4XEZ6HOJ5OJ5ME7HHA7LCX}

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	2026-05-18T01:25:55.957088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa237e5c99f1dc9eb93d613e7383eb15ea1ddcdc5ad4954a77533a0d1812c942

Aliases

arxiv: 1302.2457 · arxiv_version: 1302.2457v4 · doi: 10.48550/arxiv.1302.2457 · pith_short_12: 7IRX4XEZ6HOJ · pith_short_16: 7IRX4XEZ6HOJ5OJ5 · pith_short_8: 7IRX4XEZ

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/7IRX4XEZ6HOJ5OJ5ME7HHA7LCX \
  | 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: fa237e5c99f1dc9eb93d613e7383eb15ea1ddcdc5ad4954a77533a0d1812c942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec69486e48d007f322599fa0ee9c9da6e35fa18c1d14ff7dc43829347427007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-11T12:00:00Z",
    "title_canon_sha256": "1170556990dee6aa3d7a7f6b085841de7bfdb070d7a7d9456b45f54dbde2a3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2457",
    "kind": "arxiv",
    "version": 4
  }
}