Pith Number

pith:VLEAEDAS

pith:2026:VLEAEDASVQQ7KJAUPX62RCQMWU

not attested not anchored not stored refs pending

Colocalizing subcategories on differentially graded algebras

Ana Jerem\'ias, Eduardo Loureiro, Leovigildo Alonso

arxiv:2606.09398 v1 · 2026-06-08 · math.CT · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLEAEDASVQQ7KJAUPX62RCQMWU}

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	2026-06-09T02:08:20.044718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac8020c12ac21f524147dfda88a0cb511c5ab272b74a847c9ea4c3a2f9ffbdb

Aliases

arxiv: 2606.09398 · arxiv_version: 2606.09398v1 · doi: 10.48550/arxiv.2606.09398 · pith_short_12: VLEAEDASVQQ7 · pith_short_16: VLEAEDASVQQ7KJAU · pith_short_8: VLEAEDAS

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/VLEAEDASVQQ7KJAUPX62RCQMWU \
  | 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: aac8020c12ac21f524147dfda88a0cb511c5ab272b74a847c9ea4c3a2f9ffbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8623ce155298095726849e6ab324c2d1fe7eb570349a0acb5ad161a12fb6b14",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-08T12:17:54Z",
    "title_canon_sha256": "8061d64e8be6037749ebfb595527ad043a684b62b48774b908247b798dc4a71a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09398",
    "kind": "arxiv",
    "version": 1
  }
}