Pith Number

pith:J2GKJGOO

pith:2022:J2GKJGOOINM3VBTOIMET4FPE5I

not attested not anchored not stored refs pending

Categorifying connected domination via graph \"uberhomology

Carlo Collari, Daniele Celoria, Luigi Caputi

arxiv:2201.00721 v1 · 2022-01-03 · math.AT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2GKJGOOINM3VBTOIMET4FPE5I}

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	2026-07-05T06:41:43.448745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8ca499ce4359ba866e43093e15e4ea2e16276a8b938da0c63e669e4c8f72d1

Aliases

arxiv: 2201.00721 · arxiv_version: 2201.00721v1 · doi: 10.48550/arxiv.2201.00721 · pith_short_12: J2GKJGOOINM3 · pith_short_16: J2GKJGOOINM3VBTO · pith_short_8: J2GKJGOO

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/J2GKJGOOINM3VBTOIMET4FPE5I \
  | 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: 4e8ca499ce4359ba866e43093e15e4ea2e16276a8b938da0c63e669e4c8f72d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88292ee78b6ae70e69788d1b612ced0dd78394c0aa59fca6596592717b5b4800",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-01-03T15:48:40Z",
    "title_canon_sha256": "c26cf5cd1762d8f921c5a9884f0b5f61e020508cd9f31aa58be9dcd069b3e4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00721",
    "kind": "arxiv",
    "version": 1
  }
}