Pith Number

pith:2YOAQGZF

pith:2016:2YOAQGZF674QPRPDDBMPUW65RS

not attested not anchored not stored refs pending

Perfect Numbers in the Ring of Eisenstein Integers

Jeff Rushall, Jordan Hunt, Zachary Parker

arxiv:1602.09106 v1 · 2016-02-29 · 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{2YOAQGZF674QPRPDDBMPUW65RS}

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	2026-05-18T01:19:51.285034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61c081b25f7f907c5e31858fa5bdd8c9390270e50699f4a866a2b2cd8a8173f

Aliases

arxiv: 1602.09106 · arxiv_version: 1602.09106v1 · doi: 10.48550/arxiv.1602.09106 · pith_short_12: 2YOAQGZF674Q · pith_short_16: 2YOAQGZF674QPRPD · pith_short_8: 2YOAQGZF

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/2YOAQGZF674QPRPDDBMPUW65RS \
  | 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: d61c081b25f7f907c5e31858fa5bdd8c9390270e50699f4a866a2b2cd8a8173f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b469cd096c508a1a14488d68bac88a73bd24f5240b4c5ccb96bb389722ec972",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-29T19:12:20Z",
    "title_canon_sha256": "e4fab6f0664abd5c047045a1f0a7fa2341f1b302f66342cb7590d976a661e52c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.09106",
    "kind": "arxiv",
    "version": 1
  }
}