Pith Number

pith:UHJWM67Z

pith:2017:UHJWM67ZSKRZPOEFRRVK72PYQX

not attested not anchored not stored refs pending

Group-like projections for locally compact quantum groups

Pawe{\l} Kasprzak, Ramin Faal

arxiv:1706.10138 v4 · 2017-06-30 · 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{UHJWM67ZSKRZPOEFRRVK72PYQX}

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	2026-05-18T00:26:29.712307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d3667bf992a397b8858c6aafe9f885c55c7d0bcf92fed92a24e4a08600aedd

Aliases

arxiv: 1706.10138 · arxiv_version: 1706.10138v4 · doi: 10.48550/arxiv.1706.10138 · pith_short_12: UHJWM67ZSKRZ · pith_short_16: UHJWM67ZSKRZPOEF · pith_short_8: UHJWM67Z

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/UHJWM67ZSKRZPOEFRRVK72PYQX \
  | 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: a1d3667bf992a397b8858c6aafe9f885c55c7d0bcf92fed92a24e4a08600aedd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a16b3f5ef0eecb3105aefcc11686d3533720a4100ba558d843211d0eb2c31c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-30T11:34:49Z",
    "title_canon_sha256": "0f5ca8316a4034e6cf68989b6d481203b6a21d0dbe2591e3106e9efa366f6f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10138",
    "kind": "arxiv",
    "version": 4
  }
}