Pith Number

pith:2E5BXICC

pith:2011:2E5BXICCFTKJVOBYMC6PZ2DUEE

not attested not anchored not stored refs pending

The 2-adic valuation of plane partitions and totally symmetric partitions

William J. Keith

arxiv:1103.0331 v1 · 2011-03-02 · 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{2E5BXICCFTKJVOBYMC6PZ2DUEE}

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	2026-05-18T04:27:35.250279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13a1ba0422cd49ab83860bcfce87421311e9e928479fa9d294e30789057b64c

Aliases

arxiv: 1103.0331 · arxiv_version: 1103.0331v1 · doi: 10.48550/arxiv.1103.0331 · pith_short_12: 2E5BXICCFTKJ · pith_short_16: 2E5BXICCFTKJVOBY · pith_short_8: 2E5BXICC

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/2E5BXICCFTKJVOBYMC6PZ2DUEE \
  | 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: d13a1ba0422cd49ab83860bcfce87421311e9e928479fa9d294e30789057b64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25daa1e933b1b17a20fe0b428adcdd08e9aa39daca5846de35c1de54a86013d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-02T01:25:14Z",
    "title_canon_sha256": "b9157d6a9950be14d668d393ebe43d62eb982bf939126ceaf0e36259f73293b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0331",
    "kind": "arxiv",
    "version": 1
  }
}