Pith Number

pith:S7VW25DI

pith:2012:S7VW25DIVSOT27TKWTCVKDEG35

not attested not anchored not stored refs pending

Unitary groups and spectral sets

Dorin Ervin Dutkay, Palle E. T. Jorgensen

arxiv:1205.4351 v4 · 2012-05-19 · 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{S7VW25DIVSOT27TKWTCVKDEG35}

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	2026-05-18T02:38:37.596762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97eb6d7468ac9d3d7e6ab4c5550c86df78d33af3b360d1b642539d3864714e86

Aliases

arxiv: 1205.4351 · arxiv_version: 1205.4351v4 · doi: 10.48550/arxiv.1205.4351 · pith_short_12: S7VW25DIVSOT · pith_short_16: S7VW25DIVSOT27TK · pith_short_8: S7VW25DI

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/S7VW25DIVSOT27TKWTCVKDEG35 \
  | 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: 97eb6d7468ac9d3d7e6ab4c5550c86df78d33af3b360d1b642539d3864714e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1e6fbe3c98bc62e4040f664094b38b9e8c2ff73b0f65c0e440c72608a77c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-19T17:29:43Z",
    "title_canon_sha256": "3511f30bce091d4acf56f879961fdca1446ab9f28a8864e080e4dce9b0207944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4351",
    "kind": "arxiv",
    "version": 4
  }
}