Pith Number

pith:VHLWJTBY

pith:2015:VHLWJTBY7IXWTZLS57WQVUVFVT

not attested not anchored not stored refs pending

Representation spaces for central extensions and almost commuting unitary matrices

Alejandro Adem, Man Chuen Cheng

arxiv:1502.05092 v2 · 2015-02-18 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHLWJTBY7IXWTZLS57WQVUVFVT}

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	2026-05-18T00:44:28.494021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d764cc38fa2f69e572efed0ad2a5acd1a0f574f4fde5d2143344a44f0e084e

Aliases

arxiv: 1502.05092 · arxiv_version: 1502.05092v2 · doi: 10.48550/arxiv.1502.05092 · pith_short_12: VHLWJTBY7IXW · pith_short_16: VHLWJTBY7IXWTZLS · pith_short_8: VHLWJTBY

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/VHLWJTBY7IXWTZLS57WQVUVFVT \
  | 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: a9d764cc38fa2f69e572efed0ad2a5acd1a0f574f4fde5d2143344a44f0e084e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b15b5742ba6e8100e3d57700d3b8659f54cdbe03f37f18c74e320022a66bf6b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-18T00:42:50Z",
    "title_canon_sha256": "dcf0c8c9531cce18cfa78ef4437071eb47a6d44dd4242fb67a187ce5f324c1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05092",
    "kind": "arxiv",
    "version": 2
  }
}