Pith Number

pith:RMYO4OPF

pith:2016:RMYO4OPF4NBYGYMI3CJQZBALAT

not attested not anchored not stored refs pending

On consecutive abundant numbers

Hui Lv, Yong-Gao Chen

arxiv:1603.06176 v1 · 2016-03-20 · 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{RMYO4OPF4NBYGYMI3CJQZBALAT}

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	2026-05-18T01:18:50.100542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b30ee39e5e343836188d8930c840b04eaa7c5fe6ff0e17a65be12a64021f28f

Aliases

arxiv: 1603.06176 · arxiv_version: 1603.06176v1 · doi: 10.48550/arxiv.1603.06176 · pith_short_12: RMYO4OPF4NBY · pith_short_16: RMYO4OPF4NBYGYMI · pith_short_8: RMYO4OPF

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/RMYO4OPF4NBYGYMI3CJQZBALAT \
  | 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: 8b30ee39e5e343836188d8930c840b04eaa7c5fe6ff0e17a65be12a64021f28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f488fb53f40e029a6eeab3df9a86c108a9731e51275766d0e077f404399f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-20T03:06:15Z",
    "title_canon_sha256": "f0e13c3d410740692c16a436310a0a8ccb8c2dfc72499c849f07e459bdca9db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06176",
    "kind": "arxiv",
    "version": 1
  }
}