Pith Number

pith:5GJRI7ZT

pith:2016:5GJRI7ZT5I5GBK75WH6YKPUOVL

not attested not anchored not stored refs pending

Spontaneous atomicity for polynomial rings with zero-divisors

Jim Coykendall, Stacy Trentham

arxiv:1612.05976 v1 · 2016-12-18 · 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{5GJRI7ZT5I5GBK75WH6YKPUOVL}

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	2026-05-18T00:54:46.200739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e993147f33ea3a60abfdb1fd853e8eaaf5e7adb20425c493f5bf65f7981bdec6

Aliases

arxiv: 1612.05976 · arxiv_version: 1612.05976v1 · doi: 10.48550/arxiv.1612.05976 · pith_short_12: 5GJRI7ZT5I5G · pith_short_16: 5GJRI7ZT5I5GBK75 · pith_short_8: 5GJRI7ZT

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/5GJRI7ZT5I5GBK75WH6YKPUOVL \
  | 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: e993147f33ea3a60abfdb1fd853e8eaaf5e7adb20425c493f5bf65f7981bdec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89aeb8cafc5296bbf66cc60c6bc0274513ae29403b61b140fae31dde5b94d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-12-18T19:26:33Z",
    "title_canon_sha256": "e2b701250860a673a5f111a5cd492d5d1a3040408be8774f19994cc431990407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05976",
    "kind": "arxiv",
    "version": 1
  }
}