Pith Number

pith:4MDU4T6X

pith:2013:4MDU4T6XJMFUBRHQSA46PSHAZJ

not attested not anchored not stored refs pending

Fusion of Critical Defect Lines in the 2D Ising Model

Costas Bachas, Daniel Roggenkamp, Ilka Brunner

arxiv:1303.3616 v1 · 2013-03-14 · cond-mat.stat-mech · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MDU4T6XJMFUBRHQSA46PSHAZJ}

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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

6 papers in Pith

A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Fusion of Integrable Defects and the Defect $g$-Function

Extraordinary Surface Criticalities for Interacting Fermions

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions

Receipt and verification

First computed	2026-05-18T01:51:07.062437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3074e4fd74b0b40c4f09039e7c8e0ca54265f36ecacbc0dd4b47c3c190153ca

Aliases

arxiv: 1303.3616 · arxiv_version: 1303.3616v1 · doi: 10.48550/arxiv.1303.3616 · pith_short_12: 4MDU4T6XJMFU · pith_short_16: 4MDU4T6XJMFUBRHQ · pith_short_8: 4MDU4T6X

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/4MDU4T6XJMFUBRHQSA46PSHAZJ \
  | 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: e3074e4fd74b0b40c4f09039e7c8e0ca54265f36ecacbc0dd4b47c3c190153ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e19023269a696905ae2cd3bf1d2fcc963e88376f1dc1f33e6c807999289bcb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-14T21:15:28Z",
    "title_canon_sha256": "9d310391653f3d96ae5867cf83280544c515baf4d8f98295c7315d4b1131cfff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3616",
    "kind": "arxiv",
    "version": 1
  }
}