Pith Number

pith:76WRMNVZ

pith:2015:76WRMNVZZT53QBF465RLU3YV76

not attested not anchored not stored refs pending

Multi-Base Representations of Integers: Asymptotic Enumeration and Central Limit Theorems

Daniel Krenn, Dimbinaina Ralaivaosaona, Stephan Wagner

arxiv:1503.08594 v1 · 2015-03-30 · math.NT · 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{76WRMNVZZT53QBF465RLU3YV76}

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	2026-05-18T01:27:31.841742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffad1636b9ccfbb804bcf762ba6f15ff80bf5aa0c0dc75671347d9e2da7d04d4

Aliases

arxiv: 1503.08594 · arxiv_version: 1503.08594v1 · doi: 10.48550/arxiv.1503.08594 · pith_short_12: 76WRMNVZZT53 · pith_short_16: 76WRMNVZZT53QBF4 · pith_short_8: 76WRMNVZ

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/76WRMNVZZT53QBF465RLU3YV76 \
  | 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: ffad1636b9ccfbb804bcf762ba6f15ff80bf5aa0c0dc75671347d9e2da7d04d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6776ad67387b45c738e412bc760761de158988c16844c3a24152ae5e7b5b5099",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-30T08:44:04Z",
    "title_canon_sha256": "a7a45630fcf723bd74407b08e11db96b0b9179d07d649a180219850b7e47ad69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08594",
    "kind": "arxiv",
    "version": 1
  }
}