Pith Number

pith:2YTKNM3O

pith:2016:2YTKNM3OEWU76RGLM6FR4DQFVB

not attested not anchored not stored refs pending

Non-Minimality of the Width-$w$ Non-adjacent Form in Conjunction with Trace One $\tau$-adic Digit Expansions and Koblitz Curves in Characteristic Two

Daniel Krenn, Volker Ziegler

arxiv:1604.01562 v2 · 2016-04-06 · 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{2YTKNM3OEWU76RGLM6FR4DQFVB}

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	2026-05-18T01:01:42.040211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d626a6b36e25a9ff44cb678b1e0e05a8558ae3877d8085fffee37121dd510139

Aliases

arxiv: 1604.01562 · arxiv_version: 1604.01562v2 · doi: 10.48550/arxiv.1604.01562 · pith_short_12: 2YTKNM3OEWU7 · pith_short_16: 2YTKNM3OEWU76RGL · pith_short_8: 2YTKNM3O

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/2YTKNM3OEWU76RGLM6FR4DQFVB \
  | 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: d626a6b36e25a9ff44cb678b1e0e05a8558ae3877d8085fffee37121dd510139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6888f696ac440f0942295a62782abdd55ea386ef9cc9ea77fc31d3e00e8efb1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-06T09:49:20Z",
    "title_canon_sha256": "a58ffd12a3799b64fe0aa4ac301df4a7ab3e7287f8ac8e396b462f40307a2cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01562",
    "kind": "arxiv",
    "version": 2
  }
}