Pith Number

pith:AUNHYQPR

pith:2018:AUNHYQPRTDTXRR3TY6IEGZSSU7

not attested not anchored not stored refs pending

$C^*$ exponential length of commutators unitaries in $AH$ algebras

Chun Guang Li, Iv\'an Vel\'azquez Ruiz, Liangqing Li

arxiv:1807.09018 v1 · 2018-07-24 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUNHYQPRTDTXRR3TY6IEGZSSU7}

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	2026-05-18T00:09:57.017029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051a7c41f198e778c773c790436652a7ea8915b95f2fcde8636e92ca8191c146

Aliases

arxiv: 1807.09018 · arxiv_version: 1807.09018v1 · doi: 10.48550/arxiv.1807.09018 · pith_short_12: AUNHYQPRTDTX · pith_short_16: AUNHYQPRTDTXRR3T · pith_short_8: AUNHYQPR

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/AUNHYQPRTDTXRR3TY6IEGZSSU7 \
  | 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: 051a7c41f198e778c773c790436652a7ea8915b95f2fcde8636e92ca8191c146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4d39a5dbf5f124d2aa6fac04c8f9b02007b1c72e37419621aab2a1c8bbd48f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-07-24T10:26:53Z",
    "title_canon_sha256": "532fb1403d08585088d284a703bc83c41936b0f60fc9285231ecf19f5f194e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09018",
    "kind": "arxiv",
    "version": 1
  }
}