Pith Number

pith:2U7YZK4L

pith:2013:2U7YZK4LSGXQA5LOSBGUBRCLS3

not attested not anchored not stored refs pending

Proof of a conjecture of Stanley-Zanello

Levent Alpoge

arxiv:1308.2358 v2 · 2013-08-11 · math.CO · 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{2U7YZK4LSGXQA5LOSBGUBRCLS3}

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	2026-05-18T02:57:23.650007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53f8cab8b91af00756e904d40c44b96e90a57e3fc6f2b0f4aba87c7cb392ffb

Aliases

arxiv: 1308.2358 · arxiv_version: 1308.2358v2 · doi: 10.48550/arxiv.1308.2358 · pith_short_12: 2U7YZK4LSGXQ · pith_short_16: 2U7YZK4LSGXQA5LO · pith_short_8: 2U7YZK4L

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/2U7YZK4LSGXQA5LOSBGUBRCLS3 \
  | 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: d53f8cab8b91af00756e904d40c44b96e90a57e3fc6f2b0f4aba87c7cb392ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ccd7d985987f316e58d6242ad7097d2b2df1f99850b1036909f3b9d02165261",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-11T01:51:58Z",
    "title_canon_sha256": "fc8748a89fce65aefd82a7076c819a944b2689c0aff7322300e34b6b17e8cd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2358",
    "kind": "arxiv",
    "version": 2
  }
}