Pith Number

pith:2XP6DIW6

pith:2005:2XP6DIW6NA4K2CDLLDDXL7DIT2

not attested not anchored not stored refs pending

Failure of microcausality in quantum field theory on noncommutative spacetime

O.W. Greenberg

arxiv:hep-th/0508057 v2 · 2005-08-08 · hep-th · math-ph · 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{2XP6DIW6NA4K2CDLLDDXL7DIT2}

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	2026-07-04T16:56:17.450616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dfe1a2de6838ad086b58c775fc689e87777691cff035540b811b65cb631025

Aliases

arxiv: hep-th/0508057 · arxiv_version: hep-th/0508057v2 · doi: 10.48550/arxiv.hep-th/0508057 · pith_short_12: 2XP6DIW6NA4K · pith_short_16: 2XP6DIW6NA4K2CDL · pith_short_8: 2XP6DIW6

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/2XP6DIW6NA4K2CDLLDDXL7DIT2 \
  | 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: d5dfe1a2de6838ad086b58c775fc689e87777691cff035540b811b65cb631025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f4f3af0b2395a1592ea1d467e4d9181cdd48e264343996f3b587a930d7b56a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-08-08T14:04:12Z",
    "title_canon_sha256": "9bbdab5afe9d7381771d56b18b746b941261d4be81ca3c37fbc0e102a65a8f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0508057",
    "kind": "arxiv",
    "version": 2
  }
}