Pith Number

pith:ZGDIPMY6

pith:2026:ZGDIPMY6MURNYLLOJMSIOTH32U

not attested not anchored not stored refs pending

Affine Chabauty II

Marius Leonhardt, Martin L\"udtke

arxiv:2602.05643 v2 · 2026-02-05 · 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{ZGDIPMY6MURNYLLOJMSIOTH32U}

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	2026-06-19T16:10:34.912176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98687b31e6522dc2d6e4b24874cfbd52d3296741e7a24df7f5b2c5adc75f3e5

Aliases

arxiv: 2602.05643 · arxiv_version: 2602.05643v2 · doi: 10.48550/arxiv.2602.05643 · pith_short_12: ZGDIPMY6MURN · pith_short_16: ZGDIPMY6MURNYLLO · pith_short_8: ZGDIPMY6

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/ZGDIPMY6MURNYLLOJMSIOTH32U \
  | 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: c98687b31e6522dc2d6e4b24874cfbd52d3296741e7a24df7f5b2c5adc75f3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f810288140eef38a9a52b231c43013ef3eb030870632257b346f0e2a7e1071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-05T13:22:57Z",
    "title_canon_sha256": "240d8171f6c0bd92885d966dfab558c674d95186729dadd30d960a1a2c2d0824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05643",
    "kind": "arxiv",
    "version": 2
  }
}