Pith Number

pith:HH5I6GX7

pith:2010:HH5I6GX773O4YWPLRQZQM65QNY

not attested not anchored not stored refs pending

Homotopy invariance for homology of linear groups: the case SL_4

Matthias Wendt

arxiv:1011.5392 v2 · 2010-11-24 · 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{HH5I6GX773O4YWPLRQZQM65QNY}

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	2026-05-18T04:15:50.274871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fa8f1afffeddcc59eb8c33067bb06e0367f5445b750caf7f565f20fdb8002c

Aliases

arxiv: 1011.5392 · arxiv_version: 1011.5392v2 · doi: 10.48550/arxiv.1011.5392 · pith_short_12: HH5I6GX773O4 · pith_short_16: HH5I6GX773O4YWPL · pith_short_8: HH5I6GX7

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/HH5I6GX773O4YWPLRQZQM65QNY \
  | 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: 39fa8f1afffeddcc59eb8c33067bb06e0367f5445b750caf7f565f20fdb8002c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f3477b13665a93dce8ae29b67fcfb623c842f11a9b94f99b9d73ae2eba8a2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-24T15:03:29Z",
    "title_canon_sha256": "a68a440a7a4a17e2cc13a0f346db1b02272633cdc9209d830fcf65ffab6cc6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5392",
    "kind": "arxiv",
    "version": 2
  }
}