Pith Number

pith:HDSKZIC2

pith:2013:HDSKZIC2TMKTZSZTSDEUGX7IOW

not attested not anchored not stored refs pending

Exact pairs of homogeneous zero divisors

Adela Vraciu, Andrew R. Kustin, Janet Striuli

arxiv:1304.0411 v1 · 2013-04-01 · 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{HDSKZIC2TMKTZSZTSDEUGX7IOW}

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	2026-05-18T03:29:17.004452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e4aca05a9b153ccb3390c9435fe87588e203bd474aea0fb365b2a8a19a733c

Aliases

arxiv: 1304.0411 · arxiv_version: 1304.0411v1 · doi: 10.48550/arxiv.1304.0411 · pith_short_12: HDSKZIC2TMKT · pith_short_16: HDSKZIC2TMKTZSZT · pith_short_8: HDSKZIC2

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/HDSKZIC2TMKTZSZTSDEUGX7IOW \
  | 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: 38e4aca05a9b153ccb3390c9435fe87588e203bd474aea0fb365b2a8a19a733c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddae26198ce7f293cedf0c91499bd778a10792a5657098c4457dd714319dffa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-01T18:30:04Z",
    "title_canon_sha256": "9fab58528d571e3f4542b9072a9ba0dd94348a7dfcbc7fae09e493bd63f6e28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0411",
    "kind": "arxiv",
    "version": 1
  }
}