Pith Number

pith:AXCPN4C2

pith:2026:AXCPN4C2XECXUUNXXKSZALQ77I

not attested not anchored not stored refs pending

Moments of the number of representations as sums of two prime squares

Haozhe Gou

arxiv:2607.08985 v1 · 2026-07-09 · 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{AXCPN4C2XECXUUNXXKSZALQ77I}

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	2026-07-13T00:17:32.092833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c4f6f05ab9057a51b7baa5902e1ffa209d40465efafa790af3d054cbe2de83

Aliases

arxiv: 2607.08985 · arxiv_version: 2607.08985v1 · doi: 10.48550/arxiv.2607.08985 · pith_short_12: AXCPN4C2XECX · pith_short_16: AXCPN4C2XECXUUNX · pith_short_8: AXCPN4C2

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/AXCPN4C2XECXUUNXXKSZALQ77I \
  | 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: 05c4f6f05ab9057a51b7baa5902e1ffa209d40465efafa790af3d054cbe2de83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b123551e6c32a4fa8defd57e8bcaeb7074c555c35459a7155a3ff63df9e3c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-09T23:17:49Z",
    "title_canon_sha256": "27b872cf66ce5b58638d4d5a91bf2c57ea42ece4ceebebab97b3f3cd15cb2fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08985",
    "kind": "arxiv",
    "version": 1
  }
}