Pith Number

pith:MB5FFZ2U

pith:2018:MB5FFZ2UHXCJ7YZFEWUGCOM5KM

not attested not anchored not stored refs pending

Pattern groups and a poset based Hopf monoid

Farid Aliniaeifard, Nathaniel Thiem

arxiv:1810.01826 v1 · 2018-10-03 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB5FFZ2UHXCJ7YZFEWUGCOM5KM}

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	2026-05-18T00:04:10.856868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607a52e7543dc49fe32525a861399d533bf5ec97955bb696972d1941239192f4

Aliases

arxiv: 1810.01826 · arxiv_version: 1810.01826v1 · doi: 10.48550/arxiv.1810.01826 · pith_short_12: MB5FFZ2UHXCJ · pith_short_16: MB5FFZ2UHXCJ7YZF · pith_short_8: MB5FFZ2U

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/MB5FFZ2UHXCJ7YZFEWUGCOM5KM \
  | 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: 607a52e7543dc49fe32525a861399d533bf5ec97955bb696972d1941239192f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471f139d2f6f367cd1d7216c306de3afa128d26fbe34d3eb291fc67995baee9b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-03T16:24:28Z",
    "title_canon_sha256": "34db09075b359e9ea885e278e43b021ee1c0efbfd0a43af11d5f2a9190249eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01826",
    "kind": "arxiv",
    "version": 1
  }
}