Pith Number

pith:5MZK2ZL4

pith:2014:5MZK2ZL4TSAHFYSNGEFBP5CA6D

not attested not anchored not stored refs pending

Odd values of the Klein j-function and the cubic partition function

Fabrizio Zanello

arxiv:1409.6271 v2 · 2014-09-22 · math.NT · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MZK2ZL4TSAHFYSNGEFBP5CA6D}

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	2026-05-18T02:27:29.086599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb32ad657c9c8072e24d310a17f440f0ee885c54ac3c59750e340a39558ffd22

Aliases

arxiv: 1409.6271 · arxiv_version: 1409.6271v2 · doi: 10.48550/arxiv.1409.6271 · pith_short_12: 5MZK2ZL4TSAH · pith_short_16: 5MZK2ZL4TSAHFYSN · pith_short_8: 5MZK2ZL4

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/5MZK2ZL4TSAHFYSNGEFBP5CA6D \
  | 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: eb32ad657c9c8072e24d310a17f440f0ee885c54ac3c59750e340a39558ffd22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a9a36e46b072d53fa432d404ae3a0a1cbdd56a4f89fe8c4a21df088713cd4f",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T18:38:35Z",
    "title_canon_sha256": "e9bbe1f849007fcd548f51d3288a1fa52f1c7e694013fb195ed8a152ca802bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6271",
    "kind": "arxiv",
    "version": 2
  }
}