Pith Number

pith:FEZE3PB7

pith:2016:FEZE3PB7DPUCUZ4OP7SI4QXGUJ

not attested not anchored not stored refs pending

Twelve new primitive binary trinomials

Paul Zimmermann, Richard P. Brent

arxiv:1605.09213 v1 · 2016-05-24 · 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{FEZE3PB7DPUCUZ4OP7SI4QXGUJ}

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	2026-05-18T01:13:21.701371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29324dbc3f1be82a678e7fe48e42e6a262471b63f2587df1af485bbf337b8612

Aliases

arxiv: 1605.09213 · arxiv_version: 1605.09213v1 · doi: 10.48550/arxiv.1605.09213 · pith_short_12: FEZE3PB7DPUC · pith_short_16: FEZE3PB7DPUCUZ4O · pith_short_8: FEZE3PB7

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/FEZE3PB7DPUCUZ4OP7SI4QXGUJ \
  | 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: 29324dbc3f1be82a678e7fe48e42e6a262471b63f2587df1af485bbf337b8612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e2a87a87544fa8b6ac47ff66daee23eb39790e4a16657a9e1fa0871c0c16e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-24T00:13:58Z",
    "title_canon_sha256": "2f6047d706fee5c3100947cfa81acf40785d95260de6775ef200976b77ec7d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09213",
    "kind": "arxiv",
    "version": 1
  }
}