Pith Number

pith:X3GSJ7GK

pith:2013:X3GSJ7GKGMTYP64AVNDZ4ZT25D

not attested not anchored not stored refs pending

Some examples of two-dimensional regular rings

Cristodor Ionescu, Tiberiu Dumitrescu

arxiv:1301.2615 v1 · 2013-01-11 · 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{X3GSJ7GKGMTYP64AVNDZ4ZT25D}

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	2026-05-18T02:43:00.863251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becd24fcca332787fb80ab479e667ae8cc8a2ab4de6b0413b41cbe1fd70436bc

Aliases

arxiv: 1301.2615 · arxiv_version: 1301.2615v1 · doi: 10.48550/arxiv.1301.2615 · pith_short_12: X3GSJ7GKGMTY · pith_short_16: X3GSJ7GKGMTYP64A · pith_short_8: X3GSJ7GK

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/X3GSJ7GKGMTYP64AVNDZ4ZT25D \
  | 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: becd24fcca332787fb80ab479e667ae8cc8a2ab4de6b0413b41cbe1fd70436bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3e1a2b597f24d7a05d5ee8fad8efd940653e3f0aab8aa9a73e2d797e404c78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-11T21:51:40Z",
    "title_canon_sha256": "71be2489bfb48b28559ba55a084f7c18e8a85abca21307c8feb46f1dc3e19fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2615",
    "kind": "arxiv",
    "version": 1
  }
}