pith. sign in
Pith Number

pith:F55M5LPH

pith:2008:F55M5LPH33BYRNH6SI76GCPUPY
not attested not anchored not stored refs pending

Topological multicritical point in the Toric Code and 3D gauge Higgs Models

A. Kitaev, I.S. Tupitsyn, N.V. Prokof'ev, P.C.E. Stamp

arxiv:0804.3175 v1 · 2008-04-20 · cond-mat.stat-mech · cond-mat.other

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F55M5LPH33BYRNH6SI76GCPUPY}

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 2026-05-18T02:35:22.780129Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f7aceade7dec388b4fe923fe309f47e384a572014473e2b6a62cf3c65886328

Aliases

arxiv: 0804.3175 · arxiv_version: 0804.3175v1 · doi: 10.48550/arxiv.0804.3175 · pith_short_12: F55M5LPH33BY · pith_short_16: F55M5LPH33BYRNH6 · pith_short_8: F55M5LPH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F55M5LPH33BYRNH6SI76GCPUPY \
  | 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: 2f7aceade7dec388b4fe923fe309f47e384a572014473e2b6a62cf3c65886328
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d6c8cd7d481b2ec8de8f52d080fd7bde6255f3c4f0481492a5faf67190f1cc56",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-04-20T06:55:24Z",
    "title_canon_sha256": "8c229af0f41de65eb28d84f7e3b8e794318746db8ac3db9455648dc90d395b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3175",
    "kind": "arxiv",
    "version": 1
  }
}