Pith Number

pith:JQDI5BBI

pith:2010:JQDI5BBIRJ4WAHGAVSICZPPQM3

not attested not anchored not stored refs pending

Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology

Daniel Kolodrubetz, Matilde Marcolli

arxiv:1006.4000 v2 · 2010-06-21 · 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{JQDI5BBIRJ4WAHGAVSICZPPQM3}

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	2026-05-18T02:33:16.466410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c068e84288a79601cc0ac902cbdf066e0c1a3fe86a74987958c13aca7084cde

Aliases

arxiv: 1006.4000 · arxiv_version: 1006.4000v2 · doi: 10.48550/arxiv.1006.4000 · pith_short_12: JQDI5BBIRJ4W · pith_short_16: JQDI5BBIRJ4WAHGA · pith_short_8: JQDI5BBI

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/JQDI5BBIRJ4WAHGAVSICZPPQM3 \
  | 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: 4c068e84288a79601cc0ac902cbdf066e0c1a3fe86a74987958c13aca7084cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07650723e9eb8f380ccde5c61424871a4c485eba875913b3f83a3b0036149805",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-21T07:23:56Z",
    "title_canon_sha256": "34b6e843c23e13479c1cbd804fa035c4fafa53c84c87b78f61b24531758d6441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4000",
    "kind": "arxiv",
    "version": 2
  }
}