Pith. sign in
Pith Number

pith:JMWGLTLT

pith:2020:JMWGLTLTM4ZWWHF7G3VXYHAXCR
not attested not anchored not stored refs pending

Cohomology ring of manifold arrangements

Jie Wu, Junda Chen, Zhi L\"u

arxiv:2002.02666 v3 · 2020-02-07 · math.AT · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JMWGLTLTM4ZWWHF7G3VXYHAXCR}

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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 2026-07-05T03:11:52.501230Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b2c65cd7367336b1cbf36eb7c1c17145a3a6a1def82ce580b6cb66bfc014b57

Aliases

arxiv: 2002.02666 · arxiv_version: 2002.02666v3 · doi: 10.48550/arxiv.2002.02666 · pith_short_12: JMWGLTLTM4ZW · pith_short_16: JMWGLTLTM4ZWWHF7 · pith_short_8: JMWGLTLT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JMWGLTLTM4ZWWHF7G3VXYHAXCR \
  | 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: 4b2c65cd7367336b1cbf36eb7c1c17145a3a6a1def82ce580b6cb66bfc014b57
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "68167218539f80a5f274f99f028cae1ba7469053471037f4782d0fc3d91c15d5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-02-07T08:41:41Z",
    "title_canon_sha256": "16b3649f5ab4304649b800256be136f8b425f1293177e4c573b6035dfce0b64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02666",
    "kind": "arxiv",
    "version": 3
  }
}