Pith Number

pith:6WDLNQL5

pith:2020:6WDLNQL5CFSCCOLDHRCVKW5UZB

not attested not anchored not stored refs pending

The Riemann Hypothesis for period polynomials of Hilbert modular forms

Angelica Babei, Ian Wagner, Larry Rolen

arxiv:2005.10763 v1 · 2020-05-21 · 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{6WDLNQL5CFSCCOLDHRCVKW5UZB}

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	2026-07-05T01:04:57.129256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f586b6c17d11642139633c45555bb4c8739a1eccae7df531acff1966c869265b

Aliases

arxiv: 2005.10763 · arxiv_version: 2005.10763v1 · doi: 10.48550/arxiv.2005.10763 · pith_short_12: 6WDLNQL5CFSC · pith_short_16: 6WDLNQL5CFSCCOLD · pith_short_8: 6WDLNQL5

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/6WDLNQL5CFSCCOLDHRCVKW5UZB \
  | 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: f586b6c17d11642139633c45555bb4c8739a1eccae7df531acff1966c869265b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de864956a996e5243c77c6a6fdce9df7deb26be2c2b72b27018ddc0367340603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-21T16:31:58Z",
    "title_canon_sha256": "6fb39d87594d0ea22778594f6eec62ae0e2aff40e4ddb6682dc8f32d44d5f3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.10763",
    "kind": "arxiv",
    "version": 1
  }
}