Pith Number

pith:OEX6KVEP

pith:2015:OEX6KVEPFUJ2L73FH65EYTFOHB

not attested not anchored not stored refs pending

Modeling sampling in tensor products of unitary invariant subspaces

Alberto Ibort, Antonio G. Garc\'ia, Mar\'ia J. Mu\~noz-Bouzo

arxiv:1511.03239 v2 · 2015-11-10 · 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{OEX6KVEPFUJ2L73FH65EYTFOHB}

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	2026-05-18T01:11:50.204058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712fe5548f2d13a5ff653fba4c4cae38584e51d63ac0084c8078f32f203ee987

Aliases

arxiv: 1511.03239 · arxiv_version: 1511.03239v2 · doi: 10.48550/arxiv.1511.03239 · pith_short_12: OEX6KVEPFUJ2 · pith_short_16: OEX6KVEPFUJ2L73F · pith_short_8: OEX6KVEP

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/OEX6KVEPFUJ2L73FH65EYTFOHB \
  | 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: 712fe5548f2d13a5ff653fba4c4cae38584e51d63ac0084c8078f32f203ee987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0782d018d2bdc671a42aba66608055782b43286ccf09305b579b140619add185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-10T19:55:32Z",
    "title_canon_sha256": "bfb69769d2666089acd77775d55ca95aba3d43b1cb5e6e65691da203fdfcbdcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03239",
    "kind": "arxiv",
    "version": 2
  }
}