Pith Number

pith:MJULWNQ5

pith:2016:MJULWNQ5I2MODAUXMGZ7JABWFM

not attested not anchored not stored refs pending

Ordered set partitions and the 0-Hecke algebra

Brendon Rhoades, Jia Huang

arxiv:1611.01251 v3 · 2016-11-04 · 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{MJULWNQ5I2MODAUXMGZ7JABWFM}

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	2026-05-18T00:43:09.075412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6268bb361d4698e1829761b3f480362b1782d74b84781afb64a5b5a1d476a734

Aliases

arxiv: 1611.01251 · arxiv_version: 1611.01251v3 · doi: 10.48550/arxiv.1611.01251 · pith_short_12: MJULWNQ5I2MO · pith_short_16: MJULWNQ5I2MODAUX · pith_short_8: MJULWNQ5

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/MJULWNQ5I2MODAUXMGZ7JABWFM \
  | 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: 6268bb361d4698e1829761b3f480362b1782d74b84781afb64a5b5a1d476a734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27422910a5897b68a417f8a2ba9602a858560ea0a9eaaff1c03a8bb13adf859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-04T02:51:43Z",
    "title_canon_sha256": "c72dd2e384924bebb1c3e0bb8896df75e9960759437f33f3d66f822995850ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01251",
    "kind": "arxiv",
    "version": 3
  }
}