Pith Number

pith:6FWA6ZSA

pith:2008:6FWA6ZSADKRYX73EDLXFKMSP3Z

not attested not anchored not stored refs pending

Bounding sup-norms of cusp forms of large level

Roman Holowinsky, Valentin Blomer

arxiv:0808.1525 v3 · 2008-08-11 · 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{6FWA6ZSADKRYX73EDLXFKMSP3Z}

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	2026-05-18T02:15:43.458838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16c0f66401aa38bff641aee55324fde7c7c98db007be443086f0a39cad0a5e9

Aliases

arxiv: 0808.1525 · arxiv_version: 0808.1525v3 · doi: 10.48550/arxiv.0808.1525 · pith_short_12: 6FWA6ZSADKRY · pith_short_16: 6FWA6ZSADKRYX73E · pith_short_8: 6FWA6ZSA

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/6FWA6ZSADKRYX73EDLXFKMSP3Z \
  | 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: f16c0f66401aa38bff641aee55324fde7c7c98db007be443086f0a39cad0a5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd808e0402ecab5e6dce7ecf90ccb908c3d7aab971b9d7464d765ecc8fec527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-08-11T15:21:11Z",
    "title_canon_sha256": "8a89a2223d37deec6f78f11b79bc4e6ecdac0a02450b03cdb764f66b67650fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1525",
    "kind": "arxiv",
    "version": 3
  }
}