Pith Number

pith:3PVWRBGI

pith:2010:3PVWRBGINMDRDXYJZYQ7LW67PC

not attested not anchored not stored refs pending

Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases

Clemens Heuberger, Daniel Krenn

arxiv:1009.0488 v3 · 2010-09-02 · 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{3PVWRBGINMDRDXYJZYQ7LW67PC}

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	2026-05-18T03:28:54.408604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbeb6884c86b0711df09ce21f5dbdf78a88ac15dd11bbfcc44fd471e88058e30

Aliases

arxiv: 1009.0488 · arxiv_version: 1009.0488v3 · doi: 10.48550/arxiv.1009.0488 · pith_short_12: 3PVWRBGINMDR · pith_short_16: 3PVWRBGINMDRDXYJ · pith_short_8: 3PVWRBGI

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/3PVWRBGINMDRDXYJZYQ7LW67PC \
  | 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: dbeb6884c86b0711df09ce21f5dbdf78a88ac15dd11bbfcc44fd471e88058e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c8eec0ee4a6ff7c23e1f8c25a6929f5259f4ff7aa26e87bf2c935c0fe5787f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-02T17:52:44Z",
    "title_canon_sha256": "7d02a421e110adcbcb9849a1a82a6f59bdb9604db2e8c2b0709992088339be1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0488",
    "kind": "arxiv",
    "version": 3
  }
}