Pith Number

pith:2U4BY66T

pith:2011:2U4BY66TGD56PV3MPKIRAAAINP

not attested not anchored not stored refs pending

Third homology of general linear groups over rings with many units

Behrooz Mirzaii

arxiv:1108.5454 v1 · 2011-08-27 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2U4BY66TGD56PV3MPKIRAAAINP}

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	2026-05-18T04:14:37.481490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5381c7bd330fbe7d76c7a911000086bdc02a28b26cbd07ec507e7e53d3c69fb

Aliases

arxiv: 1108.5454 · arxiv_version: 1108.5454v1 · doi: 10.48550/arxiv.1108.5454 · pith_short_12: 2U4BY66TGD56 · pith_short_16: 2U4BY66TGD56PV3M · pith_short_8: 2U4BY66T

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/2U4BY66TGD56PV3MPKIRAAAINP \
  | 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: d5381c7bd330fbe7d76c7a911000086bdc02a28b26cbd07ec507e7e53d3c69fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47caf633c4516397012cbc86dec19da89fabce3ff3973aac0d5d7332b11058fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-08-27T14:25:59Z",
    "title_canon_sha256": "d1a313c043afd3336f26ecefaf8024d79d6a03269a5be24e72f6738cf423e177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5454",
    "kind": "arxiv",
    "version": 1
  }
}