Pith Number

pith:4EZ4YKSQ

pith:2025:4EZ4YKSQKNBQGSOTF6UQZTQRHC

not attested not anchored not stored refs pending

The prime number theorem over integers of power-free polynomial values

Biao Wang, Shaoyun Yi

arxiv:2504.00804 v3 · 2025-04-01 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EZ4YKSQKNBQGSOTF6UQZTQRHC}

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	2026-06-09T01:05:06.164066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e133cc2a5053430349d32fa90cce113880d518e4f15b8ecbbedf7f4441dbb7e3

Aliases

arxiv: 2504.00804 · arxiv_version: 2504.00804v3 · doi: 10.48550/arxiv.2504.00804 · pith_short_12: 4EZ4YKSQKNBQ · pith_short_16: 4EZ4YKSQKNBQGSOT · pith_short_8: 4EZ4YKSQ

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/4EZ4YKSQKNBQGSOTF6UQZTQRHC \
  | 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: e133cc2a5053430349d32fa90cce113880d518e4f15b8ecbbedf7f4441dbb7e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7303aa47bab74dd1cf773a1d1ef8cc02455962889fde902394fb6b79011bcd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-01T14:00:14Z",
    "title_canon_sha256": "a2069d6f7fd101452eca8a45e23921f61094a6a652292f17f0df3b9de2c54dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.00804",
    "kind": "arxiv",
    "version": 3
  }
}