Pith Number

pith:2PDJIQA6

pith:2019:2PDJIQA6C57XXTR4G7ZQMB6ZRV

not attested not anchored not stored refs pending

On 2-local nonlinear surjective isometries on normed spaces and C$^*$-algebras

Michiya Mori

arxiv:1907.02172 v1 · 2019-07-04 · math.FA · math.MG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PDJIQA6C57XXTR4G7ZQMB6ZRV}

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	2026-05-17T23:41:29.558426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c694401e177f7bce3c37f30607d98d5d9423550a59e3209187456a1deb9696

Aliases

arxiv: 1907.02172 · arxiv_version: 1907.02172v1 · doi: 10.48550/arxiv.1907.02172 · pith_short_12: 2PDJIQA6C57X · pith_short_16: 2PDJIQA6C57XXTR4 · pith_short_8: 2PDJIQA6

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/2PDJIQA6C57XXTR4G7ZQMB6ZRV \
  | 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: d3c694401e177f7bce3c37f30607d98d5d9423550a59e3209187456a1deb9696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d6ff250bbeeb15f2389b5bcafbfc751ab5367f9f461d4252b6b5a63b18a44c",
    "cross_cats_sorted": [
      "math.MG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-04T00:46:12Z",
    "title_canon_sha256": "2bf3d2a9013432635c11b697a5b34935281b3f591cce913ebbef2d956de27aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02172",
    "kind": "arxiv",
    "version": 1
  }
}