Pith Number

pith:P76AJHMI

pith:2015:P76AJHMILYDIEAWUQPW2AIZITC

not attested not anchored not stored refs pending

Local bounds for $L^p$ norms of Maass forms in the level aspect

Simon Marshall

arxiv:1502.01006 v1 · 2015-02-03 · 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{P76AJHMILYDIEAWUQPW2AIZITC}

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	2026-05-18T01:11:13.633437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffc049d885e068202d483eda023289887590f7e66862f7cef465652fad54a47

Aliases

arxiv: 1502.01006 · arxiv_version: 1502.01006v1 · doi: 10.48550/arxiv.1502.01006 · pith_short_12: P76AJHMILYDI · pith_short_16: P76AJHMILYDIEAWU · pith_short_8: P76AJHMI

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/P76AJHMILYDIEAWUQPW2AIZITC \
  | 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: 7ffc049d885e068202d483eda023289887590f7e66862f7cef465652fad54a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5d2a8457d9ac25ed8de1fc07644649e1e2bb124d6df27e2097e0fdedb0c5946",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-03T20:44:33Z",
    "title_canon_sha256": "38a693a92776073360c505e8913dcce4d85a308ab7fe3deed0f8fcd4f2c31440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01006",
    "kind": "arxiv",
    "version": 1
  }
}