Pith Number

pith:J2IBZXIW

pith:2016:J2IBZXIWCOYB2TIHHDNBJXLW3N

not attested not anchored not stored refs pending

On the relation between hyperrings and fuzzy rings

Jaiung Jun, Jeffrey Giansiracusa, Oliver Lorscheid

arxiv:1607.01973 v2 · 2016-07-07 · math.CO · math.AC · 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{J2IBZXIWCOYB2TIHHDNBJXLW3N}

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	2026-05-18T01:10:11.465735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e901cdd1613b01d4d0738da14dd76db4ad1ee01ab8255836540628506413a9b

Aliases

arxiv: 1607.01973 · arxiv_version: 1607.01973v2 · doi: 10.48550/arxiv.1607.01973 · pith_short_12: J2IBZXIWCOYB · pith_short_16: J2IBZXIWCOYB2TIH · pith_short_8: J2IBZXIW

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/J2IBZXIWCOYB2TIHHDNBJXLW3N \
  | 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: 4e901cdd1613b01d4d0738da14dd76db4ad1ee01ab8255836540628506413a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e2251140ecdf9b1893fc287afadd7fe1fdc4b731d2ea4482f59beb86912e47",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-07T11:47:36Z",
    "title_canon_sha256": "fe562f6962b4075b9acc285a809048713013e501b242e91b96a1c4b12291109a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01973",
    "kind": "arxiv",
    "version": 2
  }
}