pith. sign in
Pith Number

pith:MHZXLZEW

pith:2011:MHZXLZEWISGKWDSR5TENFHQWOQ
not attested not anchored not stored refs pending

RG flows, cycles, and c-theorem folklore

Cosmas K Zachos, Thomas L Curtright, Xiang Jin

arxiv:1111.2649 v1 · 2011-11-11 · hep-th · cond-mat.stat-mech · hep-lat · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MHZXLZEWISGKWDSR5TENFHQWOQ}

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 2026-05-18T03:59:13.625995Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

61f375e496448cab0e51ecc8d29e1674374f3c1c41d1dde3571e37a12437143b

Aliases

arxiv: 1111.2649 · arxiv_version: 1111.2649v1 · doi: 10.48550/arxiv.1111.2649 · pith_short_12: MHZXLZEWISGK · pith_short_16: MHZXLZEWISGKWDSR · pith_short_8: MHZXLZEW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MHZXLZEWISGKWDSR5TENFHQWOQ \
  | 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: 61f375e496448cab0e51ecc8d29e1674374f3c1c41d1dde3571e37a12437143b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ec944a48d8b218d01d36b7a8086a9e792d5cd1008663e35a9e77f0df0d1d3639",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-11T02:41:55Z",
    "title_canon_sha256": "07f712b4a1d0a809d05ab25657f49471b0646b6bb6f618d5b6854726bfe6f82f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2649",
    "kind": "arxiv",
    "version": 1
  }
}