Pith Number

pith:32A32JAP

pith:2014:32A32JAP4QTUA7NOFPNXVBRUGS

not attested not anchored not stored refs pending

Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity

Harald Grosse (Vienna), Raimar Wulkenhaar (M\"unster)

arxiv:1406.7755 v2 · 2014-06-30 · 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{32A32JAP4QTUA7NOFPNXVBRUGS}

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	2026-05-18T01:51:25.244483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de81bd240fe427407dae2bdb7a863434b49b499b6734af7ea328a54ddc226191

Aliases

arxiv: 1406.7755 · arxiv_version: 1406.7755v2 · doi: 10.48550/arxiv.1406.7755 · pith_short_12: 32A32JAP4QTU · pith_short_16: 32A32JAP4QTUA7NO · pith_short_8: 32A32JAP

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/32A32JAP4QTUA7NOFPNXVBRUGS \
  | 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: de81bd240fe427407dae2bdb7a863434b49b499b6734af7ea328a54ddc226191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92137ff0803261f2f260be5296cbd0d29c43ab3398c8e474efd65a7dc7300acb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-30T14:28:34Z",
    "title_canon_sha256": "52dbcfb8f9bd56462b5205b5eac2fc6aaaa4e065db0ad74012333436e121a2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7755",
    "kind": "arxiv",
    "version": 2
  }
}