Pith Number

pith:C5ACT6L4

pith:2024:C5ACT6L4TCZE7KYJPKSL33DCQW

not attested not anchored not stored refs pending

Remarks on Auslander's depth formula for quasi-projective dimension

Paulo Martins, Victor D. Mendoza-Rubio, Victor H. Jorge-P\'erez

arxiv:2409.08996 v4 · 2024-09-13 · math.AC

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\usepackage{pith}
\pithnumber{C5ACT6L4TCZE7KYJPKSL33DCQW}

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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.

Cited by

1 paper in Pith

The derived depth formula for modules of finite quasi-projective dimension

Receipt and verification

First computed	2026-05-21T02:04:46.207964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174029f97c98b24fab097aa4bdec62859e1c7b059b9f0fe3d3f68f212402e29a

Aliases

arxiv: 2409.08996 · arxiv_version: 2409.08996v4 · doi: 10.48550/arxiv.2409.08996 · pith_short_12: C5ACT6L4TCZE · pith_short_16: C5ACT6L4TCZE7KYJ · pith_short_8: C5ACT6L4

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/C5ACT6L4TCZE7KYJPKSL33DCQW \
  | 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: 174029f97c98b24fab097aa4bdec62859e1c7b059b9f0fe3d3f68f212402e29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6523d39143ab3df1c387340b85504b9c8acadf867ab143ef2bbe9fac8f108a51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-09-13T17:22:04Z",
    "title_canon_sha256": "fd6afbef7669cc672e02f7ff50a0add0303a0ce1099b56f3280ce77a5a16e26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08996",
    "kind": "arxiv",
    "version": 4
  }
}