Pith Number

pith:PPEPRBF5

pith:2011:PPEPRBF55LUT43JVDN5BT7V7QP

not attested not anchored not stored refs pending

The homology of simpicial complements and the cohomology of moment-angle complexes

Qibing Zheng, Xiangjun Wang

arxiv:1109.6382 v1 · 2011-09-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPEPRBF55LUT43JVDN5BT7V7QP}

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	2026-05-18T04:12:01.675071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc8f884bdeae93e6d351b7a19febf83d1d8e361d5df03a31db67fb3185cfc67

Aliases

arxiv: 1109.6382 · arxiv_version: 1109.6382v1 · doi: 10.48550/arxiv.1109.6382 · pith_short_12: PPEPRBF55LUT · pith_short_16: PPEPRBF55LUT43JV · pith_short_8: PPEPRBF5

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/PPEPRBF55LUT43JVDN5BT7V7QP \
  | 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: 7bc8f884bdeae93e6d351b7a19febf83d1d8e361d5df03a31db67fb3185cfc67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81ac07b2d9ce49f7cedf42868f9f821472a3aff330142a2a871ceaa64edff34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-29T01:40:13Z",
    "title_canon_sha256": "48ca85d6a8efc6b3a3a2ee7b918e7840850995c26ac840e3e35e8edd6bd371d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6382",
    "kind": "arxiv",
    "version": 1
  }
}