Pith Number

pith:ZF6VXCQT

pith:2011:ZF6VXCQTFZ537I5FBVAMKPBCQ2

not attested not anchored not stored refs pending

On the integral homology of PSL4(Z) and other arithmetic groups

Achill Schuermann, Graham Ellis, Mathieu Dutour Sikiric

arxiv:1101.4506 v1 · 2011-01-24 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF6VXCQTFZ537I5FBVAMKPBCQ2}

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	2026-05-18T04:10:47.082718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97d5b8a132e7bbfa3a50d40c53c2286a8a8209988fbb6ebb52a511c3643ae93

Aliases

arxiv: 1101.4506 · arxiv_version: 1101.4506v1 · doi: 10.48550/arxiv.1101.4506 · pith_short_12: ZF6VXCQTFZ53 · pith_short_16: ZF6VXCQTFZ537I5F · pith_short_8: ZF6VXCQT

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/ZF6VXCQTFZ537I5FBVAMKPBCQ2 \
  | 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: c97d5b8a132e7bbfa3a50d40c53c2286a8a8209988fbb6ebb52a511c3643ae93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b883986719316abd00155cf09102ca899481311acd0057978166236ec91648b6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-01-24T11:40:24Z",
    "title_canon_sha256": "a0dc735ed5155b3d06349c914a85943d34395bc64e98a83ea0402f6f6d2a287e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4506",
    "kind": "arxiv",
    "version": 1
  }
}