Pith Number

pith:6VV26DV2

pith:2011:6VV26DV2LMSPDT7IF5QL2GK7WI

not attested not anchored not stored refs pending

On the rapid decay of cuspidal automorphic forms

Stephen D. Miller, Wilfried Schmid

arxiv:1106.2149 v1 · 2011-06-10 · 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{6VV26DV2LMSPDT7IF5QL2GK7WI}

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	2026-05-18T04:20:13.571309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56baf0eba5b24f1cfe82f60bd195fb2099e46f293a8fd3e9556006af3308165

Aliases

arxiv: 1106.2149 · arxiv_version: 1106.2149v1 · doi: 10.48550/arxiv.1106.2149 · pith_short_12: 6VV26DV2LMSP · pith_short_16: 6VV26DV2LMSPDT7I · pith_short_8: 6VV26DV2

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/6VV26DV2LMSPDT7IF5QL2GK7WI \
  | 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: f56baf0eba5b24f1cfe82f60bd195fb2099e46f293a8fd3e9556006af3308165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c110e91a2589f37ab898a32d85831dd69cd2532690f62988f26a6928ef19c2b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-10T19:33:20Z",
    "title_canon_sha256": "993a3ce33d5445adbac245c16e0b13a948e143923ad3f1aead4bbd63028fca03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2149",
    "kind": "arxiv",
    "version": 1
  }
}