Pith Number

pith:4U3PFKSV

pith:2012:4U3PFKSVY5GAKL43RFRXNEZMF3

not attested not anchored not stored refs pending

Analysis of the Width-w Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices

Daniel Krenn

arxiv:1209.0618 v2 · 2012-09-04 · 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{4U3PFKSVY5GAKL43RFRXNEZMF3}

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	2026-05-18T03:30:55.370364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e536f2aa55c74c052f9b896376932c2ef9cd8a3fc6eddb6b5c7ba871ae26ec05

Aliases

arxiv: 1209.0618 · arxiv_version: 1209.0618v2 · doi: 10.48550/arxiv.1209.0618 · pith_short_12: 4U3PFKSVY5GA · pith_short_16: 4U3PFKSVY5GAKL43 · pith_short_8: 4U3PFKSV

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/4U3PFKSVY5GAKL43RFRXNEZMF3 \
  | 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: e536f2aa55c74c052f9b896376932c2ef9cd8a3fc6eddb6b5c7ba871ae26ec05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d28c9116926b36b3240d6a58aff51b31f0c06aaf8d53e9b570a8e867b4a72a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-04T11:56:48Z",
    "title_canon_sha256": "8ea5981d2cf570fd8b11f7fee7b7e48af122d6bbf8ddcf31cc2e792494e57978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0618",
    "kind": "arxiv",
    "version": 2
  }
}