Pith Number

pith:QU2DFTM6

pith:2015:QU2DFTM6BZSYJHLQK4Y6WQH6WR

not attested not anchored not stored refs pending

An approximation principle for congruence subgroups II: application to the limit multiplicity problem

Erez Lapid, Tobias Finis

arxiv:1504.04795 v1 · 2015-04-19 · math.NT · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QU2DFTM6BZSYJHLQK4Y6WQH6WR}

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	2026-05-18T00:05:08.172556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

853432cd9e0e65849d705731eb40feb448235d4a20c441bf1f209d0632a7d2ac

Aliases

arxiv: 1504.04795 · arxiv_version: 1504.04795v1 · doi: 10.48550/arxiv.1504.04795 · pith_short_12: QU2DFTM6BZSY · pith_short_16: QU2DFTM6BZSYJHLQ · pith_short_8: QU2DFTM6

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/QU2DFTM6BZSYJHLQK4Y6WQH6WR \
  | 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: 853432cd9e0e65849d705731eb40feb448235d4a20c441bf1f209d0632a7d2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fbacfe380a6cbf357d9726a7eef27c181105b6e10a6a529bbacf770753a3803",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-19T05:31:56Z",
    "title_canon_sha256": "f8b6f0ef0945886698de2d589d8e76c3d659e03ac31af7106a75da4cee1af863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04795",
    "kind": "arxiv",
    "version": 1
  }
}