Pith Number

pith:2QYDDGX7

pith:2025:2QYDDGX7X25PEHZXBVFIYLYBES

not attested not anchored not stored refs pending

On the supremum of random cusp forms

Bingrong Huang, Igor Wigman, Nadav Yesha, Stephen Lester

arxiv:2508.16813 v1 · 2025-08-22 · math.NT · math.CA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QYDDGX7X25PEHZXBVFIYLYBES}

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	2026-07-05T11:58:04.308498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d430319affbebaf21f370d4a8c2f0124a08e7dc5739278c73753168e7dfe849e

Aliases

arxiv: 2508.16813 · arxiv_version: 2508.16813v1 · doi: 10.48550/arxiv.2508.16813 · pith_short_12: 2QYDDGX7X25P · pith_short_16: 2QYDDGX7X25PEHZX · pith_short_8: 2QYDDGX7

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/2QYDDGX7X25PEHZXBVFIYLYBES \
  | 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: d430319affbebaf21f370d4a8c2f0124a08e7dc5739278c73753168e7dfe849e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5567a8dac9fdff62dfaa541a35e4f296a619f601f550830d6d0a94d1e69bab3",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-22T22:06:56Z",
    "title_canon_sha256": "b0ec39bdb61c6ef97790057b6a393f77b24f91348740b9e505ba679b64e38228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16813",
    "kind": "arxiv",
    "version": 1
  }
}