Pith Number

pith:HMF237K4

pith:2015:HMF237K42DDASI3SWEE4PRK7DU

not attested not anchored not stored refs pending

On $x(ax+1)+y(by+1)+z(cz+1)$ and $x(ax+b)+y(ay+c)+z(az+d)$

Zhi-Wei Sun

arxiv:1505.03679 v4 · 2015-05-14 · 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{HMF237K42DDASI3SWEE4PRK7DU}

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	2026-05-18T01:03:32.881106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0badfd5cd0c6092372b109c7c55f1d0ea899640854e0bfc04924030010b1fa

Aliases

arxiv: 1505.03679 · arxiv_version: 1505.03679v4 · doi: 10.48550/arxiv.1505.03679 · pith_short_12: HMF237K42DDA · pith_short_16: HMF237K42DDASI3S · pith_short_8: HMF237K4

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/HMF237K42DDASI3SWEE4PRK7DU \
  | 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: 3b0badfd5cd0c6092372b109c7c55f1d0ea899640854e0bfc04924030010b1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f59dcec57b9ae65ba230e34f3f958b14024185feb5208588f0f81a1d60ae0b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-14T16:00:43Z",
    "title_canon_sha256": "56c7b8282678e7a961a8d68a43c337367f4af62db8dcd7c3005da131c96cf246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03679",
    "kind": "arxiv",
    "version": 4
  }
}