Pith Number

pith:6CWRF5KA

pith:2020:6CWRF5KASTOP6I5TYI5Q7KXRU3

not attested not anchored not stored refs pending

Finite Hyperfields of Order $n\leq 5$

Ziqi Liu

arxiv:2004.07241 v5 · 2020-04-15 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CWRF5KASTOP6I5TYI5Q7KXRU3}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T01:41:51.987481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ad12f54094dcff23b3c23b0faaf1a6f8e24db331a594b856a6c465bde82bd9

Aliases

arxiv: 2004.07241 · arxiv_version: 2004.07241v5 · doi: 10.48550/arxiv.2004.07241 · pith_short_12: 6CWRF5KASTOP · pith_short_16: 6CWRF5KASTOP6I5T · pith_short_8: 6CWRF5KA

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/6CWRF5KASTOP6I5TYI5Q7KXRU3 \
  | 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: f0ad12f54094dcff23b3c23b0faaf1a6f8e24db331a594b856a6c465bde82bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd4a6d9ba624021c726d33adc90ad5e7ed3a3901a83d1c330411d0f6f7ae1b3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-04-15T09:09:18Z",
    "title_canon_sha256": "94010ecd61a68e9aaa5e284b181652b8eada5981bcaeb818d6cd0fa6c92c7593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.07241",
    "kind": "arxiv",
    "version": 5
  }
}