Pith Number

pith:XPW3TQDO

pith:2025:XPW3TQDOD54UABKGIVJB34ZX7Y

not attested not anchored not stored refs pending

Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems

Akifumi Sako, Harald Grosse, Naoyuki Kanomata, Raimar Wulkenhaar

arxiv:2507.09454 v1 · 2025-07-13 · 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{XPW3TQDOD54UABKGIVJB34ZX7Y}

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	2026-07-05T11:36:09.298936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbedb9c06e1f7940054645521df337fe0a16c7fff934d52309df14df49cf0085

Aliases

arxiv: 2507.09454 · arxiv_version: 2507.09454v1 · doi: 10.48550/arxiv.2507.09454 · pith_short_12: XPW3TQDOD54U · pith_short_16: XPW3TQDOD54UABKG · pith_short_8: XPW3TQDO

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/XPW3TQDOD54UABKGIVJB34ZX7Y \
  | 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: bbedb9c06e1f7940054645521df337fe0a16c7fff934d52309df14df49cf0085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503791729de55d57181d843893055387fc6be76798ba38b4b0cbee3551da57b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-13T02:39:27Z",
    "title_canon_sha256": "72104e761c187a305b152881dd8ae2d641d05ba8ce77054ca99af823e210ec2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09454",
    "kind": "arxiv",
    "version": 1
  }
}