Pith Number

pith:RHIYE42O

pith:2022:RHIYE42OAZUF7FPNWLJBWWQHUJ

not attested not anchored not stored refs pending

On the mass dependence of the modular operator for a double cone

Christoph Minz, Daniela Cadamuro, Henning Bostelmann

arxiv:2209.04681 v3 · 2022-09-10 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHIYE42OAZUF7FPNWLJBWWQHUJ}

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	2026-07-05T06:09:31.607661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d182734e06685f95edb2d21b5a07a275554f8622dc55220e2f67823aef5f88

Aliases

arxiv: 2209.04681 · arxiv_version: 2209.04681v3 · doi: 10.48550/arxiv.2209.04681 · pith_short_12: RHIYE42OAZUF · pith_short_16: RHIYE42OAZUF7FPN · pith_short_8: RHIYE42O

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/RHIYE42OAZUF7FPNWLJBWWQHUJ \
  | 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: 89d182734e06685f95edb2d21b5a07a275554f8622dc55220e2f67823aef5f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6ac257442cb45bc919275c262e36f20c9c337ed0659115488e3023aa94d459",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-09-10T14:42:49Z",
    "title_canon_sha256": "04805e395422de98c9d045ffdb2f734527d9d02ed0010cdc8501a3db48acdf6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04681",
    "kind": "arxiv",
    "version": 3
  }
}