Pith Number

pith:ZSUJFN6E

pith:2016:ZSUJFN6EQFXBI3AGHSZKHOON2Z

not attested not anchored not stored refs pending

EP elements in rings with involution

Jianlong Chen, Julio Benitez, Sanzhang Xu

arxiv:1602.08184 v2 · 2016-02-26 · 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{ZSUJFN6EQFXBI3AGHSZKHOON2Z}

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	2026-05-18T00:36:48.003952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca892b7c4816e146c063cb2a3b9cdd646dc211bebe11a9dffe577e5bd984356

Aliases

arxiv: 1602.08184 · arxiv_version: 1602.08184v2 · doi: 10.48550/arxiv.1602.08184 · pith_short_12: ZSUJFN6EQFXB · pith_short_16: ZSUJFN6EQFXBI3AG · pith_short_8: ZSUJFN6E

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/ZSUJFN6EQFXBI3AGHSZKHOON2Z \
  | 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: cca892b7c4816e146c063cb2a3b9cdd646dc211bebe11a9dffe577e5bd984356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec98790c0318d721e17700ffe2d07b4e71ffa7032f3e2979958b280605f44715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-02-26T03:10:37Z",
    "title_canon_sha256": "755349f889d3989bd480a0ba97a9ae1e0d57c6ac457c479998a4bd098b38d5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08184",
    "kind": "arxiv",
    "version": 2
  }
}