pith. sign in
Pith Number

pith:JFVHJCRP

pith:2011:JFVHJCRP27XWNQPWMYPAYPGJO3
not attested not anchored not stored refs pending

Duality, Cohomology, and Geometry of Locally Compact Quantum Groups

Matthias Neufang, Mehrdad Kalantar

arxiv:1110.4933 v1 · 2011-10-22 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JFVHJCRP27XWNQPWMYPAYPGJO3}

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 2026-05-18T04:10:25.015965Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

496a748a2fd7ef66c1f6661e0c3cc976c2a11480543813f6d279999fa1b45b7a

Aliases

arxiv: 1110.4933 · arxiv_version: 1110.4933v1 · doi: 10.48550/arxiv.1110.4933 · pith_short_12: JFVHJCRP27XW · pith_short_16: JFVHJCRP27XWNQPW · pith_short_8: JFVHJCRP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JFVHJCRP27XWNQPWMYPAYPGJO3 \
  | 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: 496a748a2fd7ef66c1f6661e0c3cc976c2a11480543813f6d279999fa1b45b7a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "305a52c341adef9562814ab52254938b168e5b59a102c55a2d616ac73dfac301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-22T01:11:45Z",
    "title_canon_sha256": "4215166e7af3c4d02e7ca27518c102c0f55cad67ecbd95c3ab1d58c460c9b1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4933",
    "kind": "arxiv",
    "version": 1
  }
}