Pith Number

pith:QEUE2B5C

pith:2004:QEUE2B5CP7L2BKZVJB5XY5HJP5

not attested not anchored not stored refs pending

Free Energy and Phase Transition of the Matrix Model on a Plane-Wave

Bojan Ramadanovic, Donovan Young, Gordon W. Semenoff, Shirin Hadizadeh

arxiv:hep-th/0409318 v2 · 2004-09-30 · 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{QEUE2B5CP7L2BKZVJB5XY5HJP5}

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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

1 paper in Pith

Finite-temperature phase diagram of the BMN matrix model on the lattice

Receipt and verification

First computed	2026-07-04T14:32:18.765427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81284d07a27fd7a0ab35487b7c74e97f4fdd4921097a00e0cff7ae6b799ad179

Aliases

arxiv: hep-th/0409318 · arxiv_version: hep-th/0409318v2 · doi: 10.48550/arxiv.hep-th/0409318 · pith_short_12: QEUE2B5CP7L2 · pith_short_16: QEUE2B5CP7L2BKZV · pith_short_8: QEUE2B5C

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/QEUE2B5CP7L2BKZVJB5XY5HJP5 \
  | 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: 81284d07a27fd7a0ab35487b7c74e97f4fdd4921097a00e0cff7ae6b799ad179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da7397aab860884e7dab6c8ad4ac55cd63a29c4550198861cd0afe8d0554152",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-30T17:21:37Z",
    "title_canon_sha256": "69089a831b643bb1b16d39490036e74ce893dcf518c339698e6e9e76d51c68b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409318",
    "kind": "arxiv",
    "version": 2
  }
}