Pith Number

pith:SNPSKRQX

pith:2013:SNPSKRQXOBAAV7PUGENPVR7BPU

not attested not anchored not stored refs pending

A matrix description for $K_1$ of graded rings

Zuhong Zhang

arxiv:1307.6940 v3 · 2013-07-26 · math.KT · 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{SNPSKRQXOBAAV7PUGENPVR7BPU}

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	2026-05-18T02:54:30.726116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935f25461770400afdf4311afac7e17d18de87ac93158926bc9405e9236a65a7

Aliases

arxiv: 1307.6940 · arxiv_version: 1307.6940v3 · doi: 10.48550/arxiv.1307.6940 · pith_short_12: SNPSKRQXOBAA · pith_short_16: SNPSKRQXOBAAV7PU · pith_short_8: SNPSKRQX

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/SNPSKRQXOBAAV7PUGENPVR7BPU \
  | 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: 935f25461770400afdf4311afac7e17d18de87ac93158926bc9405e9236a65a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ac65c74c935ef726fee5cf1780c98706cefeedb46065231963730b186b88cb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-07-26T07:20:44Z",
    "title_canon_sha256": "022478bb24d68697fc7e1214451a59e3e6137ea2cb47232f7835096c808cdf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6940",
    "kind": "arxiv",
    "version": 3
  }
}