Pith Number

pith:EFX5MRZV

pith:2026:EFX5MRZVXWVQX6OGQQ2WOVOXAF

not attested not anchored not stored refs pending

Port Fillings for Primary Pseudoperfect Numbers

Han Wang

arxiv:2605.21518 v1 · 2026-05-18 · 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{EFX5MRZVXWVQX6OGQQ2WOVOXAF}

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	2026-05-22T00:02:27.472452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216fd64735bdab0bf9c684356755d7017874009b828eb8c4740a9730c64fdba7

Aliases

arxiv: 2605.21518 · arxiv_version: 2605.21518v1 · doi: 10.48550/arxiv.2605.21518 · pith_short_12: EFX5MRZVXWVQ · pith_short_16: EFX5MRZVXWVQX6OG · pith_short_8: EFX5MRZV

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/EFX5MRZVXWVQX6OGQQ2WOVOXAF \
  | 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: 216fd64735bdab0bf9c684356755d7017874009b828eb8c4740a9730c64fdba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ffccdbd67a3d3b3daa93eaba1d95c43e57758675e60985ea26992415f469c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-18T12:39:12Z",
    "title_canon_sha256": "e8dedb60cb1bece6e14cb00a4322dd1ac8cba6f0c14a80ce9d8816bb35d847a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21518",
    "kind": "arxiv",
    "version": 1
  }
}