Pith Number

pith:TOX2MIKH

pith:2026:TOX2MIKHHKUV2QDGFT24IGMVI5

not attested not anchored not stored refs pending

$Q$-difference analogue of the Stothers-Mason theorem

Jian-Tang Lu, Xing-Xing Lu, Zhi-Tao Wen

arxiv:2605.27876 v1 · 2026-05-27 · math.NT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOX2MIKHHKUV2QDGFT24IGMVI5}

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	2026-05-28T01:04:51.052396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bafa621473aa95d40662cf5c419954771a4128d820782e50f4566b2be11562c

Aliases

arxiv: 2605.27876 · arxiv_version: 2605.27876v1 · doi: 10.48550/arxiv.2605.27876 · pith_short_12: TOX2MIKHHKUV · pith_short_16: TOX2MIKHHKUV2QDG · pith_short_8: TOX2MIKH

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/TOX2MIKHHKUV2QDGFT24IGMVI5 \
  | 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: 9bafa621473aa95d40662cf5c419954771a4128d820782e50f4566b2be11562c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489e4764708194106c3635c430f0cc6a90a8a6f00ae16c8b836c9b46e2a3b4f8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-27T02:52:37Z",
    "title_canon_sha256": "efbbff52091c4cbde382e28d814d42f16837629a2b9f131cfd080a9c6b4fe612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27876",
    "kind": "arxiv",
    "version": 1
  }
}