Pith Number

pith:5LA4S53U

pith:2026:5LA4S53UJNKX24HJR3LI2BHHDZ

not attested not anchored not stored refs pending

Sums of units in finite rings and applications to Cayley graphs

J\'an Min\'a\v{c}, Nguyen Duy T\^an, Tung T. Nguyen

arxiv:2607.00404 v1 · 2026-07-01 · 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{5LA4S53UJNKX24HJR3LI2BHHDZ}

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	2026-07-02T01:17:42.423296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac1c977744b557d70e98ed68d04e71e4e72ebe5b2f0df19693785ae90704f0a

Aliases

arxiv: 2607.00404 · arxiv_version: 2607.00404v1 · doi: 10.48550/arxiv.2607.00404 · pith_short_12: 5LA4S53UJNKX · pith_short_16: 5LA4S53UJNKX24HJ · pith_short_8: 5LA4S53U

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/5LA4S53UJNKX24HJR3LI2BHHDZ \
  | 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: eac1c977744b557d70e98ed68d04e71e4e72ebe5b2f0df19693785ae90704f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c454747cca8e341c43273d5fcb860b11143c8f1a0ce29f514b28fc428ac3c1e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-01T04:01:49Z",
    "title_canon_sha256": "a2d8d92d87024f89d76bcef0e8250c94b769c15578a2cc7dc084a52cfaf1cae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00404",
    "kind": "arxiv",
    "version": 1
  }
}