Pith Number

pith:W32Y3JIZ

pith:2015:W32Y3JIZTQNIAPTDAYZEWO6FWV

not attested not anchored not stored refs pending

Ding projective complexes with respect to a semidualizing module

Chunxia Zhang, Renyu Zhao, Yanhong Quan

arxiv:1502.00766 v1 · 2015-02-03 · 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{W32Y3JIZTQNIAPTDAYZEWO6FWV}

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	2026-05-18T01:01:01.866966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f58da5199c1a803e6306324b3bc5b57061c03bb0df0b37c280e40efe0ab27d

Aliases

arxiv: 1502.00766 · arxiv_version: 1502.00766v1 · doi: 10.48550/arxiv.1502.00766 · pith_short_12: W32Y3JIZTQNI · pith_short_16: W32Y3JIZTQNIAPTD · pith_short_8: W32Y3JIZ

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/W32Y3JIZTQNIAPTDAYZEWO6FWV \
  | 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: b6f58da5199c1a803e6306324b3bc5b57061c03bb0df0b37c280e40efe0ab27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af80d74b3c3d0346860b72f97931fce52c4dffd51ba6d5e08625939ffd1e537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-02-03T07:47:45Z",
    "title_canon_sha256": "4ffb56013c1e64c703b750f91fb67fa2b4aa21724280a98f43da9438adaf0c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00766",
    "kind": "arxiv",
    "version": 1
  }
}