Pith Number

pith:NI55L7RP

pith:2013:NI55L7RPVDKIONTXGFPFGRVFHF

not attested not anchored not stored refs pending

On 1-cocycles induced by a positive definite function on a locally compact abelian group

Alain Valette, Jordan Franks

arxiv:1303.4185 v1 · 2013-03-18 · math.RT · 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{NI55L7RPVDKIONTXGFPFGRVFHF}

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	2026-05-18T03:30:39.461873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3bd5fe2fa8d4873677315e5346a5396dc1d3c5b133cb1bb58708dcf2f35e6b

Aliases

arxiv: 1303.4185 · arxiv_version: 1303.4185v1 · doi: 10.48550/arxiv.1303.4185 · pith_short_12: NI55L7RPVDKI · pith_short_16: NI55L7RPVDKIONTX · pith_short_8: NI55L7RP

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/NI55L7RPVDKIONTXGFPFGRVFHF \
  | 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: 6a3bd5fe2fa8d4873677315e5346a5396dc1d3c5b133cb1bb58708dcf2f35e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c6945dcc63ca848a3eeaafca92e83fc3bf3fc22ab05de778a682d1ef1c4ff9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-18T08:52:07Z",
    "title_canon_sha256": "407fa677c91f5f696f473769f4a3228c5bf7f49a43c51b24f7c92ab259015dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4185",
    "kind": "arxiv",
    "version": 1
  }
}