Pith Number

pith:I3DDOZ4N

pith:2026:I3DDOZ4N4BXI5XRRIPYPBMYPFN

not attested not anchored not stored refs pending

Entanglement structure of the dynamical phases in the sub-Ohmic spin-boson model

Cunxi Gong, Weitang Li, Zirui Sheng

arxiv:2606.20313 v1 · 2026-06-18 · quant-ph · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3DDOZ4N4BXI5XRRIPYPBMYPFN}

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	2026-06-19T16:13:08.593795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c637678de06e8ede3143f0f0b30f2b5fd6834f992d03f451705569c2b8c107

Aliases

arxiv: 2606.20313 · arxiv_version: 2606.20313v1 · doi: 10.48550/arxiv.2606.20313 · pith_short_12: I3DDOZ4N4BXI · pith_short_16: I3DDOZ4N4BXI5XRR · pith_short_8: I3DDOZ4N

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/I3DDOZ4N4BXI5XRRIPYPBMYPFN \
  | 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: 46c637678de06e8ede3143f0f0b30f2b5fd6834f992d03f451705569c2b8c107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33db6d6ca3895bac83b6cb9f9511bc05bf7770a95f741a8a55ce261fc80ddc8",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-18T14:47:16Z",
    "title_canon_sha256": "da949e408db6279fb5b447d1ff9a1251b68ae196842ccdc6b6844fae35cb7f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20313",
    "kind": "arxiv",
    "version": 1
  }
}