Pith Number

pith:X4VFQHR2

pith:2014:X4VFQHR22YH7G62EGK3FXKE5S3

not attested not anchored not stored refs pending

Unitary representations of the groups of measurable and continuous functions with values in the circle

Slawomir Solecki

arxiv:1409.5848 v1 · 2014-09-20 · math.RT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4VFQHR22YH7G62EGK3FXKE5S3}

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	2026-05-18T02:42:15.826883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2a581e3ad60ff37b4432b65ba89d96c827e678412eae92029c0a16007a442c

Aliases

arxiv: 1409.5848 · arxiv_version: 1409.5848v1 · doi: 10.48550/arxiv.1409.5848 · pith_short_12: X4VFQHR22YH7 · pith_short_16: X4VFQHR22YH7G62E · pith_short_8: X4VFQHR2

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/X4VFQHR22YH7G62EGK3FXKE5S3 \
  | 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: bf2a581e3ad60ff37b4432b65ba89d96c827e678412eae92029c0a16007a442c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f31dd16fb43290d2a47e511d842de705e59b282162d2bb2039362f820bfea690",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-09-20T02:54:08Z",
    "title_canon_sha256": "077da622ef8fe0c25aa4fa545de7c2295dc98260c0ab4a5487c5369dda243a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5848",
    "kind": "arxiv",
    "version": 1
  }
}