Pith Number

pith:PCHDWNF2

pith:2012:PCHDWNF2SPLTL4IEDQNNUI6X5K

not attested not anchored not stored refs pending

Existence and Optimality of $w$-Non-adjacent Forms with an Algebraic Integer Base

Clemens Heuberger, Daniel Krenn

arxiv:1205.4414 v1 · 2012-05-20 · 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{PCHDWNF2SPLTL4IEDQNNUI6X5K}

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	2026-05-18T02:19:08.741099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788e3b34ba93d735f1041c1ada23d7eaa2c3737cd906793b977352130c0f0489

Aliases

arxiv: 1205.4414 · arxiv_version: 1205.4414v1 · doi: 10.48550/arxiv.1205.4414 · pith_short_12: PCHDWNF2SPLT · pith_short_16: PCHDWNF2SPLTL4IE · pith_short_8: PCHDWNF2

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/PCHDWNF2SPLTL4IEDQNNUI6X5K \
  | 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: 788e3b34ba93d735f1041c1ada23d7eaa2c3737cd906793b977352130c0f0489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8867b38943d07bab51876995f6d1251e76f28f38f9dc6e482e9527d734d2953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-20T13:02:04Z",
    "title_canon_sha256": "6d20bfff1fde5fbdc8c475b6b17daa3f720cb5f61486af9cb56f5e617569e4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4414",
    "kind": "arxiv",
    "version": 1
  }
}