Pith Number

pith:DCKYORUO

pith:2013:DCKYORUOKF64J3O3PQNAR257JH

not attested not anchored not stored refs pending

Schur's partition theorem and mixed mock modular forms

Karl Mahlburg, Kathrin Bringmann

arxiv:1307.1800 v1 · 2013-07-06 · math.NT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCKYORUOKF64J3O3PQNAR257JH}

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	2026-05-18T03:19:03.456662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189587468e517dc4eddb7c1a08ebbf49fa2845892e7cd90f050286d0c1f37614

Aliases

arxiv: 1307.1800 · arxiv_version: 1307.1800v1 · doi: 10.48550/arxiv.1307.1800 · pith_short_12: DCKYORUOKF64 · pith_short_16: DCKYORUOKF64J3O3 · pith_short_8: DCKYORUO

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/DCKYORUOKF64J3O3PQNAR257JH \
  | 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: 189587468e517dc4eddb7c1a08ebbf49fa2845892e7cd90f050286d0c1f37614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c28dcf1e1362013b3b23b27bd12b26326e9b735cf0ebde57abd60ab2953bee",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-06T17:29:46Z",
    "title_canon_sha256": "9fe69bf1bd225b8d65cd7096b796bd7fb89affe38f141a0dbf812da555f1cfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1800",
    "kind": "arxiv",
    "version": 1
  }
}