Pith Number

pith:X46LAN5G

pith:2007:X46LAN5G3CFDDNKTXNJBPA7CSP

not attested not anchored not stored refs pending

A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions

Tatsuya Tate

arxiv:math/0702857 v2 · 2007-02-28 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X46LAN5G3CFDDNKTXNJBPA7CSP}

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	2026-05-18T00:30:34.430004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3cb037a6d88a31b553bb521783e293ead1e5d2fc85a2068638dd7a7e8839c0

Aliases

arxiv: math/0702857 · arxiv_version: math/0702857v2 · doi: 10.48550/arxiv.math/0702857 · pith_short_12: X46LAN5G3CFD · pith_short_16: X46LAN5G3CFDDNKT · pith_short_8: X46LAN5G

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/X46LAN5G3CFDDNKTXNJBPA7CSP \
  | 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: bf3cb037a6d88a31b553bb521783e293ead1e5d2fc85a2068638dd7a7e8839c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99c7693b1e5aa647110b66e082cda6562dd4a34e4bce3a633396711de5efde4",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2007-02-28T07:00:31Z",
    "title_canon_sha256": "5079ab174701610d623efa496a819bac4bbcaff9589d3999197383568a9e7afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702857",
    "kind": "arxiv",
    "version": 2
  }
}