Pith Number

pith:IRM3LIPQ

pith:2016:IRM3LIPQASEZ26GZD57WRZIEIP

not attested not anchored not stored refs pending

A classification of nullity classes in abelian categories

Donald Stanley, Yong Liu

arxiv:1610.09528 v3 · 2016-10-29 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRM3LIPQASEZ26GZD57WRZIEIP}

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	2026-05-18T00:57:25.366337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4459b5a1f004899d78d91f7f68e50443d608d3cc177501bb265f1b80057e785a

Aliases

arxiv: 1610.09528 · arxiv_version: 1610.09528v3 · doi: 10.48550/arxiv.1610.09528 · pith_short_12: IRM3LIPQASEZ · pith_short_16: IRM3LIPQASEZ26GZ · pith_short_8: IRM3LIPQ

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/IRM3LIPQASEZ26GZD57WRZIEIP \
  | 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: 4459b5a1f004899d78d91f7f68e50443d608d3cc177501bb265f1b80057e785a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d1f2d4204c757638616fcac47c5df2a249dd4a7f87820a1c822770e833d6a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-10-29T15:22:54Z",
    "title_canon_sha256": "a3697b29e132724ea3077dcd008a7b6da1c4ffb4c2b7bac412581bf665b7a5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09528",
    "kind": "arxiv",
    "version": 3
  }
}