Pith Number

pith:6PDZN6OS

pith:2022:6PDZN6OSNOFKVY4K2AF6SH73QB

not attested not anchored not stored refs pending

Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory

Corina S\'aenz, Mindy Huerta, Octavio Mendoza, Valente Santiago

arxiv:2209.08658 v1 · 2022-09-18 · 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{6PDZN6OSNOFKVY4K2AF6SH73QB}

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	2026-07-05T04:58:44.075258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c796f9d26b8aaae38ad00be91ffb805f5f8d78be1d7caf68b14298fc854cfb

Aliases

arxiv: 2209.08658 · arxiv_version: 2209.08658v1 · doi: 10.48550/arxiv.2209.08658 · pith_short_12: 6PDZN6OSNOFK · pith_short_16: 6PDZN6OSNOFKVY4K · pith_short_8: 6PDZN6OS

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/6PDZN6OSNOFKVY4K2AF6SH73QB \
  | 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: f3c796f9d26b8aaae38ad00be91ffb805f5f8d78be1d7caf68b14298fc854cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cc4133410a58a03996feb359d4a4206f620d834a0fc17dcb1927eec3103197",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-09-18T21:11:58Z",
    "title_canon_sha256": "5c210aa01e0485f441c07cc63f585ac50b5597e91987cf3e6ae4fb4b1ba9028d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08658",
    "kind": "arxiv",
    "version": 1
  }
}