Pith Number

pith:AK2R4N3Z

pith:2026:AK2R4N3ZUSKPRGEZIPWAYX4EZB

not attested not anchored not stored refs pending

Congruence Classes of Supporting the Erd\"{o}s-Straus Conjecture I: Tame Solutions

Xiaoping Xu

arxiv:2605.23601 v1 · 2026-05-22 · 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{AK2R4N3ZUSKPRGEZIPWAYX4EZB}

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	2026-05-25T02:02:21.653040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b51e3779a494f8989943ec0c5f84c85ab940f24c43c26a6cbeb53a5dc1748e

Aliases

arxiv: 2605.23601 · arxiv_version: 2605.23601v1 · doi: 10.48550/arxiv.2605.23601 · pith_short_12: AK2R4N3ZUSKP · pith_short_16: AK2R4N3ZUSKPRGEZ · pith_short_8: AK2R4N3Z

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/AK2R4N3ZUSKPRGEZIPWAYX4EZB \
  | 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: 02b51e3779a494f8989943ec0c5f84c85ab940f24c43c26a6cbeb53a5dc1748e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e5c697c1f25cc949d2977c6f25461b6b7d6e5fe8a81e8c0d8bf1b7dc00401e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-22T13:11:06Z",
    "title_canon_sha256": "a6fea8d84dc6c40c64e1386ef3dc12049a14108d32aaf333bf55889102d4e3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23601",
    "kind": "arxiv",
    "version": 1
  }
}