Pith Number

pith:6HT35N63

pith:2012:6HT35N63X2LNHDHP6PWVWC7YBO

not attested not anchored not stored refs pending

Operator Covariant Transform and Local Principle

Vladimir V. Kisil

arxiv:1201.1749 v1 · 2012-01-09 · math.FA · math.AP · 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{6HT35N63X2LNHDHP6PWVWC7YBO}

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	2026-05-18T03:53:54.503764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e7beb7dbbe96d38ceff3ed5b0bf80b84eda25fc517921149a55d2486386853

Aliases

arxiv: 1201.1749 · arxiv_version: 1201.1749v1 · doi: 10.48550/arxiv.1201.1749 · pith_short_12: 6HT35N63X2LN · pith_short_16: 6HT35N63X2LNHDHP · pith_short_8: 6HT35N63

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/6HT35N63X2LNHDHP6PWVWC7YBO \
  | 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: f1e7beb7dbbe96d38ceff3ed5b0bf80b84eda25fc517921149a55d2486386853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7881aca40fafa7d557a10b1534ce2844cfe3816d22d354c403cbd69938cb185",
    "cross_cats_sorted": [
      "math.AP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-09T13:09:59Z",
    "title_canon_sha256": "0943f640f8833a2d06f43e9e198f436166d3f4fa448442edc854c83253203f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1749",
    "kind": "arxiv",
    "version": 1
  }
}