Pith Number

pith:UEYLCDGI

pith:2015:UEYLCDGIGH27MIWBB4CPJ3UBMD

not attested not anchored not stored refs pending

Generalized q-Calkin-Wilf trees and c-hyper m-expansions of integers

Mark Shattuck, Toufik Mansour

arxiv:1503.03949 v1 · 2015-03-13 · 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{UEYLCDGIGH27MIWBB4CPJ3UBMD}

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	2026-05-18T02:23:57.641921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a130b10cc831f5f622c10f04f4ee8160fd7994b5defe314ba0aa3c663a0ab532

Aliases

arxiv: 1503.03949 · arxiv_version: 1503.03949v1 · doi: 10.48550/arxiv.1503.03949 · pith_short_12: UEYLCDGIGH27 · pith_short_16: UEYLCDGIGH27MIWB · pith_short_8: UEYLCDGI

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/UEYLCDGIGH27MIWBB4CPJ3UBMD \
  | 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: a130b10cc831f5f622c10f04f4ee8160fd7994b5defe314ba0aa3c663a0ab532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ddfaf3950e7ed064ce4b50f284abda7ac1c8a8157e2820cd5dd9b3f39b8e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-13T04:14:30Z",
    "title_canon_sha256": "06124a5571dff2d6f700e17a4d8d024cce75c20b78ceaba7c2176e0065a14a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03949",
    "kind": "arxiv",
    "version": 1
  }
}