Pith Number

pith:PUXZYJS5

pith:2018:PUXZYJS5QVUBOI5A3KRFTQRE33

not attested not anchored not stored refs pending

An Extension of a Theorem of Frobenius and Stickelberger to Modules of Projective Dimension One over a Factorial Domain

Alexander York, Joseph P. Brennan

arxiv:1806.10117 v1 · 2018-06-26 · 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{PUXZYJS5QVUBOI5A3KRFTQRE33}

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	2026-05-18T00:04:02.414968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2f9c265d85681723a0daa259c224deee33f4e848e9430af425f35a1c7f8b05

Aliases

arxiv: 1806.10117 · arxiv_version: 1806.10117v1 · doi: 10.48550/arxiv.1806.10117 · pith_short_12: PUXZYJS5QVUB · pith_short_16: PUXZYJS5QVUBOI5A · pith_short_8: PUXZYJS5

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/PUXZYJS5QVUBOI5A3KRFTQRE33 \
  | 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: 7d2f9c265d85681723a0daa259c224deee33f4e848e9430af425f35a1c7f8b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795f63272d8b0d3c94b2e5a31777229ceab2efc016fa2e40d2bb029555c8872b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-26T17:29:08Z",
    "title_canon_sha256": "4fdea4cf8f263f2c2a5f625332dec680233cc575fdb4556365fcd29b0e7fed5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10117",
    "kind": "arxiv",
    "version": 1
  }
}