Pith Number

pith:P7DXMM25

pith:2025:P7DXMM254IAUIUPYOMKVEZ2T3F

not attested not anchored not stored refs pending

Comultiplicative map on projective resolution for a family of algebras one of which is cluster-tilted type D4

Pratyush Mishra, Tolulope Oke

arxiv:2506.22924 v1 · 2025-06-28 · 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{P7DXMM254IAUIUPYOMKVEZ2T3F}

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	2026-07-05T11:28:47.688894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc776335de2014451f87315526753d97e00d9b2c03284cf49829477108fee71

Aliases

arxiv: 2506.22924 · arxiv_version: 2506.22924v1 · doi: 10.48550/arxiv.2506.22924 · pith_short_12: P7DXMM254IAU · pith_short_16: P7DXMM254IAUIUPY · pith_short_8: P7DXMM25

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/P7DXMM254IAUIUPYOMKVEZ2T3F \
  | 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: 7fc776335de2014451f87315526753d97e00d9b2c03284cf49829477108fee71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57497e2e619c879ca70faec301df09ed3eb5ce48ee17fdc07ca622b65c08e031",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-28T15:19:10Z",
    "title_canon_sha256": "f9ef796f6a9e65898728838f9ae9ee4dc63ba0851e23550ea12f618103c910b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22924",
    "kind": "arxiv",
    "version": 1
  }
}