Pith Number

pith:KMWRTQYM

pith:2026:KMWRTQYM7JBESJQGA47252AVBN

not attested not anchored not stored refs pending

Local-global compatibility at $p\neq\ell$ for torsion automorphic forms

Bence Hevesi

arxiv:2606.31698 v1 · 2026-06-30 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMWRTQYM7JBESJQGA47252AVBN}

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	2026-07-01T01:18:12.093196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532d19c30cfa42492606073faee8150b59a4d116fd0df525bc0243d0b0a8b824

Aliases

arxiv: 2606.31698 · arxiv_version: 2606.31698v1 · doi: 10.48550/arxiv.2606.31698 · pith_short_12: KMWRTQYM7JBE · pith_short_16: KMWRTQYM7JBESJQG · pith_short_8: KMWRTQYM

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/KMWRTQYM7JBESJQGA47252AVBN \
  | 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: 532d19c30cfa42492606073faee8150b59a4d116fd0df525bc0243d0b0a8b824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4db6490a1da49de8a92dd674dc91dcb1a853bab6413d24bd6032b556ad7458",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T14:08:30Z",
    "title_canon_sha256": "236784badb5275507678fc865450719705f7f66528ce2b412bbd9e7fa22a27fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31698",
    "kind": "arxiv",
    "version": 1
  }
}