Pith Number

pith:PPYFKQF4

pith:2016:PPYFKQF4ZUN7LQJ75BCYYDBNLW

not attested not anchored not stored refs pending

The "Riemann Hypothesis" is True for Period Polynomials of Almost All Newforms

Peter S. Park, Yang P. Liu, Zhuo Qun Song

arxiv:1607.04699 v2 · 2016-07-16 · math.NT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPYFKQF4ZUN7LQJ75BCYYDBNLW}

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	2026-05-18T00:21:14.912045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf05540bccd1bf5c13fe8458c0c2d5d817cf6db36b1adef03aa960446082758

Aliases

arxiv: 1607.04699 · arxiv_version: 1607.04699v2 · doi: 10.48550/arxiv.1607.04699 · pith_short_12: PPYFKQF4ZUN7 · pith_short_16: PPYFKQF4ZUN7LQJ7 · pith_short_8: PPYFKQF4

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/PPYFKQF4ZUN7LQJ75BCYYDBNLW \
  | 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: 7bf05540bccd1bf5c13fe8458c0c2d5d817cf6db36b1adef03aa960446082758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bd3d6d0d48eac01baf31df9840bef65112577ccb0c0eaca8e20330ac1a5d1c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-16T02:21:35Z",
    "title_canon_sha256": "bf727a71749309595ea768ea4303557a086c8ccfae8aff8316cbb6caebda90b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04699",
    "kind": "arxiv",
    "version": 2
  }
}