Pith Number

pith:DRR3KY27

pith:2025:DRR3KY27IJQJHUTSYAFFW3DX3I

not attested not anchored not stored refs pending

The Telephone Exchange Problem Revisited: A Combinatorial Approach

Sithembele Nkonkobe

arxiv:2506.05145 v1 · 2025-06-05 · 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{DRR3KY27IJQJHUTSYAFFW3DX3I}

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	2026-07-05T11:16:43.095169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c63b5635f426093d272c00a5b6c77da1ac40bf433ff356ae95cdda68e4f0bc2

Aliases

arxiv: 2506.05145 · arxiv_version: 2506.05145v1 · doi: 10.48550/arxiv.2506.05145 · pith_short_12: DRR3KY27IJQJ · pith_short_16: DRR3KY27IJQJHUTS · pith_short_8: DRR3KY27

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/DRR3KY27IJQJHUTSYAFFW3DX3I \
  | 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: 1c63b5635f426093d272c00a5b6c77da1ac40bf433ff356ae95cdda68e4f0bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca5315c4e825a256aa9a6861939042343c69b1195937cc8ba6a5db0044e6261",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-05T15:26:02Z",
    "title_canon_sha256": "f30e41385ef461f1610fa4dcd5d0aa7a26c1e49be71f2cf559ab366a185b927e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05145",
    "kind": "arxiv",
    "version": 1
  }
}