Pith Number

pith:VBSUPURB

pith:2015:VBSUPURBJDRDTHMAYOGOYP5L3U

not attested not anchored not stored refs pending

Analysis of Carries in Signed Digit Expansions

Clemens Heuberger, Helmut Prodinger, Sara Kropf

arxiv:1503.08816 v3 · 2015-03-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBSUPURBJDRDTHMAYOGOYP5L3U}

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	2026-05-18T00:51:58.401619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86547d22148e2399d80c38cec3fabdd24d66b6cb556ced236da5096983d27d0

Aliases

arxiv: 1503.08816 · arxiv_version: 1503.08816v3 · doi: 10.48550/arxiv.1503.08816 · pith_short_12: VBSUPURBJDRD · pith_short_16: VBSUPURBJDRDTHMA · pith_short_8: VBSUPURB

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/VBSUPURBJDRDTHMAYOGOYP5L3U \
  | 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: a86547d22148e2399d80c38cec3fabdd24d66b6cb556ced236da5096983d27d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c51305f5ce427b4d63160492f0662f11e224b1a187a43a7f18781072d9820f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-30T19:52:45Z",
    "title_canon_sha256": "51eb07218933b50c54ca74f3bdb22fb58c352faf33d47d77e788065241249608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08816",
    "kind": "arxiv",
    "version": 3
  }
}