Pith Number

pith:2DLU3HJW

pith:2013:2DLU3HJWADHZPKHRXKYSYHGBZP

not attested not anchored not stored refs pending

The direct limit closure of perfect complexes

Henrik Holm, Lars Winther Christensen

arxiv:1301.0731 v2 · 2013-01-04 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DLU3HJWADHZPKHRXKYSYHGBZP}

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	2026-05-18T03:21:10.403138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d74d9d3600cf97a8f1bab12c1cc1cbd7b22aee3be2386cdab94bd6b060a415

Aliases

arxiv: 1301.0731 · arxiv_version: 1301.0731v2 · doi: 10.48550/arxiv.1301.0731 · pith_short_12: 2DLU3HJWADHZ · pith_short_16: 2DLU3HJWADHZPKHR · pith_short_8: 2DLU3HJW

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/2DLU3HJWADHZPKHRXKYSYHGBZP \
  | 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: d0d74d9d3600cf97a8f1bab12c1cc1cbd7b22aee3be2386cdab94bd6b060a415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ebfb6d02d9ff754898bfd97338221ce66ad5c07dd8f8cbafa150d359939a40",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-04T14:19:39Z",
    "title_canon_sha256": "1e0c8e6a0d86f394463ac91013b3ca89d9eec106a7ab1418572f1ec9a0bcde54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0731",
    "kind": "arxiv",
    "version": 2
  }
}