Pith Number

pith:X7I4HUT4

pith:2014:X7I4HUT4M2VHOOQT3V2AQCDDGT

not attested not anchored not stored refs pending

Average Size of a Self-conjugate (s, t)-Core Partition

Harry H.Y. Huang, Larry X.W. Wang, William Y.C. Chen

arxiv:1405.2175 v1 · 2014-05-09 · 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{X7I4HUT4M2VHOOQT3V2AQCDDGT}

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	2026-05-18T02:52:13.468943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd1c3d27c66aa773a13dd7408086334fadf9077490203e7099aa895e23cb18e

Aliases

arxiv: 1405.2175 · arxiv_version: 1405.2175v1 · doi: 10.48550/arxiv.1405.2175 · pith_short_12: X7I4HUT4M2VH · pith_short_16: X7I4HUT4M2VHOOQT · pith_short_8: X7I4HUT4

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/X7I4HUT4M2VHOOQT3V2AQCDDGT \
  | 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: bfd1c3d27c66aa773a13dd7408086334fadf9077490203e7099aa895e23cb18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a351a16e512f598402a39b8fe658fcf395d254a1efcb8c86a88b9bad372791f8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-09T08:57:07Z",
    "title_canon_sha256": "63ef4c810f35f1d8999c05042dc1069c65382c22ec9be8bce15fcfc9edc49778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2175",
    "kind": "arxiv",
    "version": 1
  }
}