Pith Number

pith:JNTMUKFA

pith:2017:JNTMUKFAT6CTNUDV2BHJ3OPI7J

not attested not anchored not stored refs pending

Tingley's problem through the facial structure of operator algebras

Michiya Mori

arxiv:1712.09192 v2 · 2017-12-26 · 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{JNTMUKFAT6CTNUDV2BHJ3OPI7J}

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	2026-05-18T00:02:45.339482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b66ca28a09f8536d075d04e9db9e8fa6063c37e2a077c8872e27220f2e06d7c

Aliases

arxiv: 1712.09192 · arxiv_version: 1712.09192v2 · doi: 10.48550/arxiv.1712.09192 · pith_short_12: JNTMUKFAT6CT · pith_short_16: JNTMUKFAT6CTNUDV · pith_short_8: JNTMUKFA

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/JNTMUKFAT6CTNUDV2BHJ3OPI7J \
  | 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: 4b66ca28a09f8536d075d04e9db9e8fa6063c37e2a077c8872e27220f2e06d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0723050324489c5727ba93ac9273c25b1b9cb4fdf3b7b55cc07b51d5d5b846f5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-26T07:09:35Z",
    "title_canon_sha256": "f0cee7f119c7a2abf93ed0ae2a44807746321d7519edde247b95299067c238a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09192",
    "kind": "arxiv",
    "version": 2
  }
}