Pith Number

pith:4MFUOVFS

pith:2013:4MFUOVFSD4LPLUFOBIVRHHQCJH

not attested not anchored not stored refs pending

Self-conjugate core partitions and modular forms

Levent Alpoge

arxiv:1307.0158 v3 · 2013-06-29 · 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{4MFUOVFSD4LPLUFOBIVRHHQCJH}

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	2026-05-18T02:57:23.784768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30b4754b21f16f5d0ae0a2b139e0249faf18f47eccb4a52978dd02e23a505d6

Aliases

arxiv: 1307.0158 · arxiv_version: 1307.0158v3 · doi: 10.48550/arxiv.1307.0158 · pith_short_12: 4MFUOVFSD4LP · pith_short_16: 4MFUOVFSD4LPLUFO · pith_short_8: 4MFUOVFS

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/4MFUOVFSD4LPLUFOBIVRHHQCJH \
  | 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: e30b4754b21f16f5d0ae0a2b139e0249faf18f47eccb4a52978dd02e23a505d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504afd84d3da5b4a25ccd3d2eb29c458a923e0da122712df63dfec7c9791eb9a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T22:35:31Z",
    "title_canon_sha256": "6c7a43984d2154589df2273f8acc15e02376c99add124b523b7e67f63407c2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0158",
    "kind": "arxiv",
    "version": 3
  }
}