Pith Number

pith:4MIWAPHW

pith:2015:4MIWAPHW2RS6AFBT3VPKAXNVMH

not attested not anchored not stored refs pending

Corrigendum to: Essential normality, essential norms and hyperrigidity

Matthew Kennedy, Orr Shalit

arxiv:1507.05059 v1 · 2015-07-16 · math.OA · 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{4MIWAPHW2RS6AFBT3VPKAXNVMH}

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	2026-05-18T01:36:42.001735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e311603cf6d465e01433dd5ea05db561c7142f055ccf0c83add46dcee6891baf

Aliases

arxiv: 1507.05059 · arxiv_version: 1507.05059v1 · doi: 10.48550/arxiv.1507.05059 · pith_short_12: 4MIWAPHW2RS6 · pith_short_16: 4MIWAPHW2RS6AFBT · pith_short_8: 4MIWAPHW

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/4MIWAPHW2RS6AFBT3VPKAXNVMH \
  | 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: e311603cf6d465e01433dd5ea05db561c7142f055ccf0c83add46dcee6891baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9430d291189550e3c5549fba177a8e8f26780a69e8981e9dc35375b37389c583",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-16T04:12:44Z",
    "title_canon_sha256": "8ad677698cb0ca369f60aed21f324e17d7a0ec97b7b330b55e85f80052b68dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05059",
    "kind": "arxiv",
    "version": 1
  }
}