Pith Number

pith:FEAECXI7

pith:2008:FEAECXI7XYNRP7ZCCEV7CIIUVJ

not attested not anchored not stored refs pending

On higher-power moments of $\Delta(x)$(II)

Wenguang Zhai

arxiv:0805.1270 v1 · 2008-05-09 · 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{FEAECXI7XYNRP7ZCCEV7CIIUVJ}

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	2026-05-18T01:04:15.020237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2900415d1fbe1b17ff22112bf12114aa70039c63267094ab5b27894822a78cbb

Aliases

arxiv: 0805.1270 · arxiv_version: 0805.1270v1 · doi: 10.48550/arxiv.0805.1270 · pith_short_12: FEAECXI7XYNR · pith_short_16: FEAECXI7XYNRP7ZC · pith_short_8: FEAECXI7

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/FEAECXI7XYNRP7ZCCEV7CIIUVJ \
  | 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: 2900415d1fbe1b17ff22112bf12114aa70039c63267094ab5b27894822a78cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42374a6b409cdd59c5ab668d11a8cc703777bc4666a09b05acfee19117d2d090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-09T03:03:42Z",
    "title_canon_sha256": "4e76b3e1cf5bf46547f027bca5ede511e5b5ab5c977b0aa58f1e574dc069572f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1270",
    "kind": "arxiv",
    "version": 1
  }
}