Pith Number

pith:PGLK4K6Q

pith:2014:PGLK4K6QEZYYFW7AT5VG7LSVHP

not attested not anchored not stored refs pending

Upper bounds for Maass forms on semisimple groups

Simon Marshall

arxiv:1405.7033 v2 · 2014-05-27 · 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{PGLK4K6QEZYYFW7AT5VG7LSVHP}

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	2026-05-18T00:27:47.481236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7996ae2bd0267182dbe09f6a6fae553bf41d7951b529bb50ad6c642b9effce13

Aliases

arxiv: 1405.7033 · arxiv_version: 1405.7033v2 · doi: 10.48550/arxiv.1405.7033 · pith_short_12: PGLK4K6QEZYY · pith_short_16: PGLK4K6QEZYYFW7A · pith_short_8: PGLK4K6Q

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/PGLK4K6QEZYYFW7AT5VG7LSVHP \
  | 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: 7996ae2bd0267182dbe09f6a6fae553bf41d7951b529bb50ad6c642b9effce13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c9f10247621211d478de3e13bf98106e74b6961542e7bab3167b9e3da4fcaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-27T19:56:12Z",
    "title_canon_sha256": "1070063b77c150e8b7a576f4cd703a72a07463d33d63ffc78369fd998564e276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7033",
    "kind": "arxiv",
    "version": 2
  }
}