Pith Number

pith:WI4XC272

pith:2012:WI4XC2722KWACC3GOJOA3XG7XD

not attested not anchored not stored refs pending

Optimal number representations in negative base

Edita Pelantov\'a, Zuzana Mas\'akov\'a

arxiv:1208.1413 v1 · 2012-08-07 · 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{WI4XC2722KWACC3GOJOA3XG7XD}

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	2026-05-18T03:49:12.521342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b239716bfad2ac010b66725c0ddcdfb8cf7dae57e03e14b5c09be24f42f4fda1

Aliases

arxiv: 1208.1413 · arxiv_version: 1208.1413v1 · doi: 10.48550/arxiv.1208.1413 · pith_short_12: WI4XC2722KWA · pith_short_16: WI4XC2722KWACC3G · pith_short_8: WI4XC272

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/WI4XC2722KWACC3GOJOA3XG7XD \
  | 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: b239716bfad2ac010b66725c0ddcdfb8cf7dae57e03e14b5c09be24f42f4fda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991055b81a1b35ab16afe44d7ec339403f9f563fd7717af69029585b1a017988",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-07T13:08:20Z",
    "title_canon_sha256": "f47e41b7711966958917dc7981bd051dac0f29b25b53aa2f909399f7f8161101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1413",
    "kind": "arxiv",
    "version": 1
  }
}