Pith Number

pith:NZ5KGYI6

pith:2024:NZ5KGYI6QVCZEZU4HRLNMUTW7R

not attested not anchored not stored refs pending

Representations of $\mathbb{N}^{\infty}$-type combinatorial categories

Li Liang, Liping Li, Zhenxing Di

arxiv:2404.15125 v2 · 2024-04-23 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ5KGYI6QVCZEZU4HRLNMUTW7R}

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	2026-07-05T09:46:46.495526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7aa3611e854592669c3c56d65276fc72f306e57665f7f0f27409a875821813

Aliases

arxiv: 2404.15125 · arxiv_version: 2404.15125v2 · doi: 10.48550/arxiv.2404.15125 · pith_short_12: NZ5KGYI6QVCZ · pith_short_16: NZ5KGYI6QVCZEZU4 · pith_short_8: NZ5KGYI6

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/NZ5KGYI6QVCZEZU4HRLNMUTW7R \
  | 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: 6e7aa3611e854592669c3c56d65276fc72f306e57665f7f0f27409a875821813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37b150bde3640bcc29e210f0b502f63d3ab825192a145d520ea8e6edc8ccd29",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-04-23T15:26:46Z",
    "title_canon_sha256": "4040857fbc2b128e1be87bc37349f01f1d8b9d6e7e6dbf628326a2f2989cd5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15125",
    "kind": "arxiv",
    "version": 2
  }
}