Pith Number

pith:FP27M4AX

pith:2016:FP27M4AXPRP6MVJAATKV6FUH7Z

not attested not anchored not stored refs pending

Modules and Structures of Planar Upper Triangular Rook Monoids

Jianqiang Feng, Wenli Liu, Ximei Bai, Zhenheng Li

arxiv:1610.04122 v1 · 2016-10-13 · 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{FP27M4AXPRP6MVJAATKV6FUH7Z}

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	2026-05-18T01:02:21.879758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf5f670177c5fe6552004d55f1687fe5d195cdf74de05f3ecc07117728f987e

Aliases

arxiv: 1610.04122 · arxiv_version: 1610.04122v1 · doi: 10.48550/arxiv.1610.04122 · pith_short_12: FP27M4AXPRP6 · pith_short_16: FP27M4AXPRP6MVJA · pith_short_8: FP27M4AX

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/FP27M4AXPRP6MVJAATKV6FUH7Z \
  | 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: 2bf5f670177c5fe6552004d55f1687fe5d195cdf74de05f3ecc07117728f987e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e126def7b2f711d201da0c1a74d93f6945feefce6d2dd8dd607a74fce3861a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-13T15:17:58Z",
    "title_canon_sha256": "c21225d5a83f16d9669269b45f348365ed817b8403988aacc73ce8cbc7518b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04122",
    "kind": "arxiv",
    "version": 1
  }
}