Pith Number

pith:6IAJHV44

pith:2015:6IAJHV44C57PPFMAY3NZG7WB6W

not attested not anchored not stored refs pending

Product of two positive contractions

Chi-Kwong Li, Diane Christine Pelejo, Kuo-Zhong Wang

arxiv:1512.05384 v3 · 2015-12-13 · math.RA · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IAJHV44C57PPFMAY3NZG7WB6W}

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	2026-05-18T01:18:39.025003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f20093d79c177ef79580c6db937ec1f587e5d1ea75dbf0781cc4288f32a91572

Aliases

arxiv: 1512.05384 · arxiv_version: 1512.05384v3 · doi: 10.48550/arxiv.1512.05384 · pith_short_12: 6IAJHV44C57P · pith_short_16: 6IAJHV44C57PPFMA · pith_short_8: 6IAJHV44

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/6IAJHV44C57PPFMAY3NZG7WB6W \
  | 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: f20093d79c177ef79580c6db937ec1f587e5d1ea75dbf0781cc4288f32a91572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f389be0cb3afb0b9101777f4e2197469e4fbc33c1523c21c28d75a1d1baa15c",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-13T14:05:24Z",
    "title_canon_sha256": "2a312765d29dd792bbdc97bb53740f28f0e695749c3a0d07d1efdfe2d7b3739b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05384",
    "kind": "arxiv",
    "version": 3
  }
}