Pith Number

pith:XENCGNUL

pith:2011:XENCGNULYRDFNCM2KDUN2K74XG

not attested not anchored not stored refs pending

Digital expansions with negative real bases

Wolfgang Steiner (LIAFA)

arxiv:1112.1183 v1 · 2011-12-06 · math.DS · 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{XENCGNULYRDFNCM2KDUN2K74XG}

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	2026-05-18T03:06:43.123210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91a23368bc44656899a50e8dd2bfcb9adeb8c48c859f62de27e710462119da2

Aliases

arxiv: 1112.1183 · arxiv_version: 1112.1183v1 · doi: 10.48550/arxiv.1112.1183 · pith_short_12: XENCGNULYRDF · pith_short_16: XENCGNULYRDFNCM2 · pith_short_8: XENCGNUL

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/XENCGNULYRDFNCM2KDUN2K74XG \
  | 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: b91a23368bc44656899a50e8dd2bfcb9adeb8c48c859f62de27e710462119da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7b17f295aff27b4068c1a5b697d32a6e4aabb466a01ca7fe1b6b6fd6e3c27b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-06T07:52:31Z",
    "title_canon_sha256": "99f8d8eced601dafcc298a2e3d1b521837b1170bca25d46d80e6b6cb3dd88308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1183",
    "kind": "arxiv",
    "version": 1
  }
}