Pith Number

pith:UU5WCS3O

pith:2025:UU5WCS3ODTYKTHEZWGMBY6UKRX

not attested not anchored not stored refs pending

Breuil's Lattice Conjecture for GL2(K)

Hymn Chan

arxiv:2512.00178 v2 · 2025-11-28 · 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{UU5WCS3ODTYKTHEZWGMBY6UKRX}

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	2026-05-25T02:02:10.810905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53b614b6e1cf0a99c99b1981c7a8a8de045e60b79bb37992d536404bc36d20d

Aliases

arxiv: 2512.00178 · arxiv_version: 2512.00178v2 · doi: 10.48550/arxiv.2512.00178 · pith_short_12: UU5WCS3ODTYK · pith_short_16: UU5WCS3ODTYKTHEZ · pith_short_8: UU5WCS3O

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/UU5WCS3ODTYKTHEZWGMBY6UKRX \
  | 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: a53b614b6e1cf0a99c99b1981c7a8a8de045e60b79bb37992d536404bc36d20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24733960590a27cf1d0b3cec6b3a884316533197cc98103178330468e03bc83c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-28T19:30:36Z",
    "title_canon_sha256": "97ad91f3b37ad10336e21522e018abb15169cd6ddfe1ffa80a0c181fd37a7c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.00178",
    "kind": "arxiv",
    "version": 2
  }
}