Pith Number

pith:AGQEHOWQ

pith:2026:AGQEHOWQHYTH65X4OYP4C6C57V

not attested not anchored not stored refs pending

Holes in Valid-Extension Sets of Finite Gilbreath Sequences

Leila Muney

arxiv:2606.23721 v1 · 2026-06-18 · math.CO · 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{AGQEHOWQHYTH65X4OYP4C6C57V}

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	2026-06-24T00:14:24.243620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a043bad03e267f76fc761fc1785dfd46c8514da2527fe964654158088be7f0

Aliases

arxiv: 2606.23721 · arxiv_version: 2606.23721v1 · doi: 10.48550/arxiv.2606.23721 · pith_short_12: AGQEHOWQHYTH · pith_short_16: AGQEHOWQHYTH65X4 · pith_short_8: AGQEHOWQ

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/AGQEHOWQHYTH65X4OYP4C6C57V \
  | 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: 01a043bad03e267f76fc761fc1785dfd46c8514da2527fe964654158088be7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a81c09d318120650a291725f8d6a74b50d7e937a6d46cdaffe30835cd223c7c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T20:45:29Z",
    "title_canon_sha256": "080f1598f3c88182efe2beba95ad79db295e867bb5deb0c700736f7413834005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23721",
    "kind": "arxiv",
    "version": 1
  }
}