Pith Number

pith:T2QFK62A

pith:2017:T2QFK62ABLT4FLRRDES4VHPV6B

not attested not anchored not stored refs pending

Equivalence after extension and Schur coupling coincide for inessential operators

A.C.M. Ran, M. Messerschmidt, M. Roelands, M. Wortel, S. ter Horst

arxiv:1706.09177 v1 · 2017-06-28 · 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{T2QFK62ABLT4FLRRDES4VHPV6B}

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	2026-05-18T00:41:19.532655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea0557b400ae7c2ae311925ca9df5f052156e4f3d15e0a1af90b9f3c1f59287

Aliases

arxiv: 1706.09177 · arxiv_version: 1706.09177v1 · doi: 10.48550/arxiv.1706.09177 · pith_short_12: T2QFK62ABLT4 · pith_short_16: T2QFK62ABLT4FLRR · pith_short_8: T2QFK62A

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/T2QFK62ABLT4FLRRDES4VHPV6B \
  | 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: 9ea0557b400ae7c2ae311925ca9df5f052156e4f3d15e0a1af90b9f3c1f59287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f92f47c871e2750cabeeb3bbbeaf7ae221ddab4d920c86f719cca540affe1a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-28T09:07:17Z",
    "title_canon_sha256": "888608a2bf3a58af6ff8b843656fde96fdf39a1394d92170beb265e0742ec393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09177",
    "kind": "arxiv",
    "version": 1
  }
}