Pith Number

pith:6EXXGB7C

pith:2009:6EXXGB7CYCIT6OY7FKXL3AHKT2

not attested not anchored not stored refs pending

Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term

Daniel N. Blaschke, Erwin Kronberger, Harald Grosse, Manfred Schweda, Michael Wohlgenannt

arxiv:0912.3642 v1 · 2009-12-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EXXGB7CYCIT6OY7FKXL3AHKT2}

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	2026-05-18T02:33:56.007308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12f7307e2c0913f3b1f2aaebd80ea9eb90aaf07819462baeb1a0a1ed838a449

Aliases

arxiv: 0912.3642 · arxiv_version: 0912.3642v1 · doi: 10.48550/arxiv.0912.3642 · pith_short_12: 6EXXGB7CYCIT · pith_short_16: 6EXXGB7CYCIT6OY7 · pith_short_8: 6EXXGB7C

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/6EXXGB7CYCIT6OY7FKXL3AHKT2 \
  | 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: f12f7307e2c0913f3b1f2aaebd80ea9eb90aaf07819462baeb1a0a1ed838a449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f7bb5d12492862c54b4e0c0619f6481d80e03d69d89a88a23fdc3502d5aa91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-18T10:55:59Z",
    "title_canon_sha256": "2d0ae5606cfae7f8a3cbb09fadcc13725182ce7d24df87bd2a2d9041aab449b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3642",
    "kind": "arxiv",
    "version": 1
  }
}