Pith Number

pith:WSWWW4T7

pith:2021:WSWWW4T7377ED447MQ3WKRLWCI

not attested not anchored not stored refs pending

Completeness of the induced cotorsion pairs in functor categories

Fei Xu, Li Liang, Liping Li, Zhenxing Di

arxiv:2102.05826 v4 · 2021-02-11 · math.RT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSWWW4T7377ED447MQ3WKRLWCI}

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	2026-07-05T03:12:37.350335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ad6b727fdffe41f39f6437654576121e524d18bc3b49f57aa9609f4dc2ef99

Aliases

arxiv: 2102.05826 · arxiv_version: 2102.05826v4 · doi: 10.48550/arxiv.2102.05826 · pith_short_12: WSWWW4T7377E · pith_short_16: WSWWW4T7377ED447 · pith_short_8: WSWWW4T7

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/WSWWW4T7377ED447MQ3WKRLWCI \
  | 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: b4ad6b727fdffe41f39f6437654576121e524d18bc3b49f57aa9609f4dc2ef99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586a325b0c8ff9c740175355692572d0cd61c28b52f1fa35aec2750f962d6ed7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-02-11T03:11:59Z",
    "title_canon_sha256": "08c45cfcd402a89d97f60c760988b9f27f388d06183c1010f4918f99a73c81f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05826",
    "kind": "arxiv",
    "version": 4
  }
}