Pith Number

pith:TY3KPVIF

pith:2024:TY3KPVIFZMAKOWANKES4V2ELAZ

not attested not anchored not stored refs pending

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7

Christos G. Massouros, Gerasimos G. Massouros

arxiv:2412.11331 v1 · 2024-12-15 · 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{TY3KPVIFZMAKOWANKES4V2ELAZ}

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	2026-07-05T09:49:30.840586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e36a7d505cb00a7580d5125cae88b066fe66f841b1a476e5bb9d0fffcb85524

Aliases

arxiv: 2412.11331 · arxiv_version: 2412.11331v1 · doi: 10.48550/arxiv.2412.11331 · pith_short_12: TY3KPVIFZMAK · pith_short_16: TY3KPVIFZMAKOWAN · pith_short_8: TY3KPVIF

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/TY3KPVIFZMAKOWANKES4V2ELAZ \
  | 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: 9e36a7d505cb00a7580d5125cae88b066fe66f841b1a476e5bb9d0fffcb85524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc2e3c76221bbfc682379c384d8c13bc9af2ddb881bef467338fe341b773afc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-12-15T22:21:11Z",
    "title_canon_sha256": "3689d7b89c8e0028aabd60c0c35bb963b0d4076f0e7c30fa93fc76a13a056b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11331",
    "kind": "arxiv",
    "version": 1
  }
}