Pith Number

pith:6AEZI3KA

pith:2026:6AEZI3KALKAQ2ETXKG3M2NQF6W

not attested not anchored not stored refs pending

On integers of the form \(p+F_{2^k}+F_q\)

Yang Gao

arxiv:2606.30188 v1 · 2026-06-29 · 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{6AEZI3KALKAQ2ETXKG3M2NQF6W}

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	2026-06-30T02:17:53.036995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f009946d405a810d127751b6cd3605f5ab00f1605fdfd551b83836865cb28d74

Aliases

arxiv: 2606.30188 · arxiv_version: 2606.30188v1 · doi: 10.48550/arxiv.2606.30188 · pith_short_12: 6AEZI3KALKAQ · pith_short_16: 6AEZI3KALKAQ2ETX · pith_short_8: 6AEZI3KA

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/6AEZI3KALKAQ2ETXKG3M2NQF6W \
  | 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: f009946d405a810d127751b6cd3605f5ab00f1605fdfd551b83836865cb28d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7c9755996e1dd631d7e8c1cabe87d12d6129556f2a1948b08da9c0f7c85e3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T12:03:32Z",
    "title_canon_sha256": "9221852e77b1f3ab5efd0ede85e27fbf577c20b97acc04d9a0bddb007e439ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30188",
    "kind": "arxiv",
    "version": 1
  }
}