Pith Number

pith:LS76XBVB

pith:2018:LS76XBVBS2VIBZ6JD6YREYFR2V

not attested not anchored not stored refs pending

Effective sup-norm bounds on average for cusp forms of even weight

Jay Jorgenson, Joshua S. Friedman, J\"urg Kramer

arxiv:1801.05740 v1 · 2018-01-17 · 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{LS76XBVBS2VIBZ6JD6YREYFR2V}

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	2026-05-18T00:25:40.329909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbfeb86a196aa80e7c91fb11260b1d55dc10aac51a403947f4f6d76232f93fc

Aliases

arxiv: 1801.05740 · arxiv_version: 1801.05740v1 · doi: 10.48550/arxiv.1801.05740 · pith_short_12: LS76XBVBS2VI · pith_short_16: LS76XBVBS2VIBZ6J · pith_short_8: LS76XBVB

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/LS76XBVBS2VIBZ6JD6YREYFR2V \
  | 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: 5cbfeb86a196aa80e7c91fb11260b1d55dc10aac51a403947f4f6d76232f93fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6b3210b0690120d446a52937a59a471e82826a7679c75574ac8868b9ae9578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-17T16:33:16Z",
    "title_canon_sha256": "70e7e07953c761c72ac93c498d4aca3c2ee6bae17ae3e0ad01ac88af7ca51077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05740",
    "kind": "arxiv",
    "version": 1
  }
}