Pith Number

pith:AFCDPV6I

pith:2017:AFCDPV6IQG4BMKCESYZGMMSQL5

not attested not anchored not stored refs pending

Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups

Pablo Ramacher, Satoshi Wakatsuki

arxiv:1703.06973 v3 · 2017-03-20 · 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{AFCDPV6IQG4BMKCESYZGMMSQL5}

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	2026-05-18T00:05:46.352666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014437d7c881b816284496326632505f7d65b7a579bda625a3cbe03a3510cdcd

Aliases

arxiv: 1703.06973 · arxiv_version: 1703.06973v3 · doi: 10.48550/arxiv.1703.06973 · pith_short_12: AFCDPV6IQG4B · pith_short_16: AFCDPV6IQG4BMKCE · pith_short_8: AFCDPV6I

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/AFCDPV6IQG4BMKCESYZGMMSQL5 \
  | 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: 014437d7c881b816284496326632505f7d65b7a579bda625a3cbe03a3510cdcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e8cdeac5c22920271d144bc20e7dbf8f4e70e57eba44ebe48623da8253eafd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-20T21:24:38Z",
    "title_canon_sha256": "e9d55feb6d3077df56e30811638bfcb9cd5730cee7d5c6c50fab4084de905302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06973",
    "kind": "arxiv",
    "version": 3
  }
}