Pith Number

pith:KHI755LL

pith:2008:KHI755LLLWECHP3OUSAVDX5XUK

not attested not anchored not stored refs pending

Hochschild homology and global dimension

Dag Madsen, Petter Andreas Bergh

arxiv:0803.3550 v1 · 2008-03-25 · math.KT · 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{KHI755LLLWECHP3OUSAVDX5XUK}

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	2026-05-18T02:58:11.673548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d1fef56b5d8823bf6ea48151dfb7a2b692d0519e22b4634372441a67488e68

Aliases

arxiv: 0803.3550 · arxiv_version: 0803.3550v1 · doi: 10.48550/arxiv.0803.3550 · pith_short_12: KHI755LLLWEC · pith_short_16: KHI755LLLWECHP3O · pith_short_8: KHI755LL

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/KHI755LLLWECHP3OUSAVDX5XUK \
  | 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: 51d1fef56b5d8823bf6ea48151dfb7a2b692d0519e22b4634372441a67488e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf75d557730853c95f9efd3092788e00f4897788d164aa09de57d9d61da9ec3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-03-25T12:57:15Z",
    "title_canon_sha256": "7c002a431f479322e9315507278244817e70a903d3f703e2cec76643115102e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3550",
    "kind": "arxiv",
    "version": 1
  }
}