pith. sign in
Pith Number

pith:OFW6DYFV

pith:2015:OFW6DYFVWEXMWO3EC43MK4A67U
not attested not anchored not stored refs pending

Phase diagrams of the multitrace quartic matrix models of noncommutative \Phi^4

A. Rouag, B. Ydri, K. Ramda

arxiv:1509.03726 v1 · 2015-09-12 · hep-th · hep-lat

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OFW6DYFVWEXMWO3EC43MK4A67U}

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 2026-05-18T01:17:43.523268Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

716de1e0b5b12ecb3b641736c5701efd34d4aae84680358a102835308eb9b4b1

Aliases

arxiv: 1509.03726 · arxiv_version: 1509.03726v1 · doi: 10.48550/arxiv.1509.03726 · pith_short_12: OFW6DYFVWEXM · pith_short_16: OFW6DYFVWEXMWO3E · pith_short_8: OFW6DYFV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OFW6DYFVWEXMWO3EC43MK4A67U \
  | 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: 716de1e0b5b12ecb3b641736c5701efd34d4aae84680358a102835308eb9b4b1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb4be3b15ff05938fa1d79fa34cf3752f511afbca11bc1379b873f9f59f4eb1c",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-12T10:18:16Z",
    "title_canon_sha256": "6b73486daea0df802dee4e21201cf1605d241230804dd34f2b0ddb3b89059fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03726",
    "kind": "arxiv",
    "version": 1
  }
}