Pith Number

pith:NC6IBRL3

pith:2017:NC6IBRL362PHTJ2D3XRTB3FF2Y

not attested not anchored not stored refs pending

Tingley's problem for spaces of trace class operators

Antonio M. Peralta, Francisco J. Fern\'andez-Polo, Ignacio Villanueva, Jorge J. Garc\'es

arxiv:1702.07182 v2 · 2017-02-23 · math.FA · 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{NC6IBRL362PHTJ2D3XRTB3FF2Y}

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	2026-05-18T00:46:46.284062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68bc80c57bf69e79a743dde330eca5d60191e6ddd9289c19fd831a6790576fbe

Aliases

arxiv: 1702.07182 · arxiv_version: 1702.07182v2 · doi: 10.48550/arxiv.1702.07182 · pith_short_12: NC6IBRL362PH · pith_short_16: NC6IBRL362PHTJ2D · pith_short_8: NC6IBRL3

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/NC6IBRL362PHTJ2D3XRTB3FF2Y \
  | 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: 68bc80c57bf69e79a743dde330eca5d60191e6ddd9289c19fd831a6790576fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6bcb5ab69778f51ed3361460cf17dfabd77f70592cad93f90293c213df8da7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-23T11:50:46Z",
    "title_canon_sha256": "fbd827c29b7e4bc9c865bbcd408b5938a2d7c5e5613a070729db410cd4082c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07182",
    "kind": "arxiv",
    "version": 2
  }
}