Pith Number

pith:R3MUJS7A

pith:2013:R3MUJS7ATDZ6AWEW7NYPERDZAR

not attested not anchored not stored refs pending

On the invertibility of elementary operators

Janko Bra\v{c}i\v{c}, Nadia Boudi

arxiv:1312.1307 v1 · 2013-12-04 · 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{R3MUJS7ATDZ6AWEW7NYPERDZAR}

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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	2026-05-18T03:05:28.852251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed944cbe098f3e05896fb70f244790442b71aa56fcf51e760a1eede37b932ee

Aliases

arxiv: 1312.1307 · arxiv_version: 1312.1307v1 · doi: 10.48550/arxiv.1312.1307 · pith_short_12: R3MUJS7ATDZ6 · pith_short_16: R3MUJS7ATDZ6AWEW · pith_short_8: R3MUJS7A

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/R3MUJS7ATDZ6AWEW7NYPERDZAR \
  | 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: 8ed944cbe098f3e05896fb70f244790442b71aa56fcf51e760a1eede37b932ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129d6c6c072b48abb9069117277f5e7e9e03c61b7f5e0d7d583c6e073de3be6c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-04T20:06:42Z",
    "title_canon_sha256": "270bcd5ecdd586330af78b49fa45cae7221353f1a99a441549a35370df50d8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1307",
    "kind": "arxiv",
    "version": 1
  }
}