Pith Number

pith:5UXGOQ7W

pith:2017:5UXGOQ7WMH57RYYFSF4C5UCXA3

not attested not anchored not stored refs pending

On the lengths of divisible codes

Michael Kiermaier, Sascha Kurz

arxiv:1707.00650 v4 · 2017-07-03 · math.CO · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UXGOQ7WMH57RYYFSF4C5UCXA3}

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	2026-07-05T00:37:14.838508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2e6743f661fbf8e30591782ed05706e778d614f2765e926f18b6fa1c54b88e

Aliases

arxiv: 1707.00650 · arxiv_version: 1707.00650v4 · doi: 10.48550/arxiv.1707.00650 · pith_short_12: 5UXGOQ7WMH57 · pith_short_16: 5UXGOQ7WMH57RYYF · pith_short_8: 5UXGOQ7W

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/5UXGOQ7WMH57RYYFSF4C5UCXA3 \
  | 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: ed2e6743f661fbf8e30591782ed05706e778d614f2765e926f18b6fa1c54b88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a875001581035ff069e5bf43147940c60dc053d4918f5aaeda39dc10504161",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-03T17:00:02Z",
    "title_canon_sha256": "9a15d177467caf4c803ef4bdb98ce1f4284ffb83c82417a5a437286c2b204ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00650",
    "kind": "arxiv",
    "version": 4
  }
}