pith. sign in
Pith Number

pith:WVRIDRAR

pith:2013:WVRIDRARGZDJ22QE27CZZOPAZE
not attested not anchored not stored refs pending

Critical behavior of the PT-symmetric $i\phi^3$ quantum field theory

Carl M. Bender, Emanuele Messina, V. Branchina

arxiv:1301.6207 v1 · 2013-01-26 · hep-th · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WVRIDRARGZDJ22QE27CZZOPAZE}

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 2026-05-18T03:27:22.611042Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b56281c41136469d6a04d7c59cb9e0c90a0c0b83ed59840d1444709c8f5f6760

Aliases

arxiv: 1301.6207 · arxiv_version: 1301.6207v1 · doi: 10.48550/arxiv.1301.6207 · pith_short_12: WVRIDRARGZDJ · pith_short_16: WVRIDRARGZDJ22QE · pith_short_8: WVRIDRAR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WVRIDRARGZDJ22QE27CZZOPAZE \
  | 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: b56281c41136469d6a04d7c59cb9e0c90a0c0b83ed59840d1444709c8f5f6760
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e08c8f344c68f429c5373eaa93e3299e255be2beb351d0de87464c41b0acd51c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-26T03:07:50Z",
    "title_canon_sha256": "bac59e5d6e8386f21e1572e2cf51bfbe64bc60e36e65ede2ad27d820d9f9e0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6207",
    "kind": "arxiv",
    "version": 1
  }
}