pith. sign in
Pith Number

pith:YZEOJZLV

pith:2014:YZEOJZLVLZP2CDLCNSS4AX5H32
not attested not anchored not stored refs pending

Homology of torus spaces with acyclic proper faces of the orbit space

Anton Ayzenberg

arxiv:1405.4672 v1 · 2014-05-19 · math.AT · math.AC · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YZEOJZLVLZP2CDLCNSS4AX5H32}

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 2026-05-18T02:51:34.945287Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c648e4e5755e5fa10d626ca5c05fa7de9701d1ac1b8b3cd428471cb1bf735ec8

Aliases

arxiv: 1405.4672 · arxiv_version: 1405.4672v1 · doi: 10.48550/arxiv.1405.4672 · pith_short_12: YZEOJZLVLZP2 · pith_short_16: YZEOJZLVLZP2CDLC · pith_short_8: YZEOJZLV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YZEOJZLVLZP2CDLCNSS4AX5H32 \
  | 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: c648e4e5755e5fa10d626ca5c05fa7de9701d1ac1b8b3cd428471cb1bf735ec8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d1b46a8767c0f3d09cf879584e9ddfea588d1da55869c9945d952166ebae5611",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-19T10:58:21Z",
    "title_canon_sha256": "b50ab90c94e65b8c3f6f6f9431076c1c05a4d9e604c7bf6c4bb8e9bec4fbbb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4672",
    "kind": "arxiv",
    "version": 1
  }
}