Pith Number

pith:4OUNJMKG

pith:2013:4OUNJMKGWCJ43GJSDSXGK7HCNZ

not attested not anchored not stored refs pending

Ding projective dimension of complexes

Zhanping Wang, Zhongkui Liu

arxiv:1301.5247 v1 · 2013-01-22 · 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{4OUNJMKGWCJ43GJSDSXGK7HCNZ}

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	2026-05-18T03:35:52.523369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a8d4b146b093cd99321cae657ce26e6f1e616218b951396000ae7973392a6f

Aliases

arxiv: 1301.5247 · arxiv_version: 1301.5247v1 · doi: 10.48550/arxiv.1301.5247 · pith_short_12: 4OUNJMKGWCJ4 · pith_short_16: 4OUNJMKGWCJ43GJS · pith_short_8: 4OUNJMKG

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/4OUNJMKGWCJ43GJSDSXGK7HCNZ \
  | 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: e3a8d4b146b093cd99321cae657ce26e6f1e616218b951396000ae7973392a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b400b87ede6b64d8cabe672e7634ee0532ec27a0543c46ced205950c1cc92798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-22T17:16:24Z",
    "title_canon_sha256": "329dc82167c154b409de0afd0114d0d43ecdb5c04cd48fd4e38f28ba25d3c6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5247",
    "kind": "arxiv",
    "version": 1
  }
}