Pith Number

pith:VDNVOJGZ

pith:2004:VDNVOJGZ73VIDUJBEF2FD6NL2D

not attested not anchored not stored refs pending

Gaussian expansion analysis of a matrix model with the spontaneous breakdown of rotational symmetry

Fumihiko Sugino, Jun Nishimura, Toshiyuki Okubo

arxiv:hep-th/0412194 v1 · 2004-12-17 · 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{VDNVOJGZ73VIDUJBEF2FD6NL2D}

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.

Cited by

2 papers in Pith

Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations

Receipt and verification

First computed	2026-05-18T04:35:22.960379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8db5724d9feea81d121217451f9abd0fdf922a8a7b07703c0a56e72f5fca0cf

Aliases

arxiv: hep-th/0412194 · arxiv_version: hep-th/0412194v1 · doi: 10.48550/arxiv.hep-th/0412194 · pith_short_12: VDNVOJGZ73VI · pith_short_16: VDNVOJGZ73VIDUJB · pith_short_8: VDNVOJGZ

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/VDNVOJGZ73VIDUJBEF2FD6NL2D \
  | 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: a8db5724d9feea81d121217451f9abd0fdf922a8a7b07703c0a56e72f5fca0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6a74337b22f5f0d8c0e59806a9f0691fab12d317ade90dc64b80d780c71268",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-17T10:13:11Z",
    "title_canon_sha256": "f83c12177016903b1ef43432cf2fe6b4c71be9dd335b471a895e5a99ee732e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412194",
    "kind": "arxiv",
    "version": 1
  }
}