Pith Number

pith:XPMHRAXR

pith:2018:XPMHRAXRUNEOR6SCUMRZDANJOU

not attested not anchored not stored refs pending

A Swan-like note for a family of binary pentanomials

Giorgos Kapetanakis

arxiv:1812.04294 v1 · 2018-12-11 · 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{XPMHRAXRUNEOR6SCUMRZDANJOU}

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	2026-05-17T23:58:32.688823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd87882f1a348e8fa42a3239181a97513b8ab2d6ec1766f6684df0e17013a35

Aliases

arxiv: 1812.04294 · arxiv_version: 1812.04294v1 · doi: 10.48550/arxiv.1812.04294 · pith_short_12: XPMHRAXRUNEO · pith_short_16: XPMHRAXRUNEOR6SC · pith_short_8: XPMHRAXR

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/XPMHRAXRUNEOR6SCUMRZDANJOU \
  | 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: bbd87882f1a348e8fa42a3239181a97513b8ab2d6ec1766f6684df0e17013a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ceb7f59fa606a3360c1e0722d28d9493384b4abacd8152f51f553404caf2d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-11T09:35:11Z",
    "title_canon_sha256": "37041fbfbf58661d274f637b2bb5262bf4e29f2d48ef1823c22036a5817472ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04294",
    "kind": "arxiv",
    "version": 1
  }
}