pith. sign in
Pith Number

pith:5KZ7EHMO

pith:2010:5KZ7EHMOCU5PBI6OSYV2U3EH2R
not attested not anchored not stored refs pending

Symmetric ideals in group rings and simplicial homotopy

Inder Bir S. Passi, Jie Wu, Roman Mikhailov

arxiv:1002.0128 v3 · 2010-01-31 · math.GR · math.AT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5KZ7EHMOCU5PBI6OSYV2U3EH2R}

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 2026-05-18T04:03:07.483779Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eab3f21d8e153af0a3ce962baa6c87d47d1894541cf3e5c9d83fbd3e6d3d9d05

Aliases

arxiv: 1002.0128 · arxiv_version: 1002.0128v3 · doi: 10.48550/arxiv.1002.0128 · pith_short_12: 5KZ7EHMOCU5P · pith_short_16: 5KZ7EHMOCU5PBI6O · pith_short_8: 5KZ7EHMO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5KZ7EHMOCU5PBI6OSYV2U3EH2R \
  | 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: eab3f21d8e153af0a3ce962baa6c87d47d1894541cf3e5c9d83fbd3e6d3d9d05
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7badac4bb2aa1c46f59f76cd5e28a727938021b9a30e4a189d67b2dc38acf8e1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-31T14:56:29Z",
    "title_canon_sha256": "4fa510a4df47925adf2d398294ee62b28745e1c5ab3f02fd10eee0e8c536c40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0128",
    "kind": "arxiv",
    "version": 3
  }
}