Pith Number

pith:WANUW6JI

pith:2018:WANUW6JIALSZ4G7WX7L7QBTI2F

not attested not anchored not stored refs pending

When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module

Jiangsheng Hu, Jian Wang, Yunxia Li

arxiv:1812.03498 v2 · 2018-12-09 · 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{WANUW6JIALSZ4G7WX7L7QBTI2F}

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	2026-05-17T23:46:03.755750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01b4b792802e59e1bf6bfd7f80668d1502815019b3c9f17d4796f21423aa141

Aliases

arxiv: 1812.03498 · arxiv_version: 1812.03498v2 · doi: 10.48550/arxiv.1812.03498 · pith_short_12: WANUW6JIALSZ · pith_short_16: WANUW6JIALSZ4G7W · pith_short_8: WANUW6JI

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/WANUW6JIALSZ4G7WX7L7QBTI2F \
  | 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: b01b4b792802e59e1bf6bfd7f80668d1502815019b3c9f17d4796f21423aa141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c884ae4f70740d623c7463adabc6eee6a4feaa4f0bf359c49ee10949a73265cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-12-09T15:12:37Z",
    "title_canon_sha256": "7acb8303309a5971260be4d9a833edcf02a64af912583ad0ec4a8cb215e1bd77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03498",
    "kind": "arxiv",
    "version": 2
  }
}