Pith Number

pith:XHGYWO6G

pith:2013:XHGYWO6GXIDLM774OCOD4PSW2G

not attested not anchored not stored refs pending

A Non-existence Proof of Quantum Phase Transition in Spin-Boson Model

Tao Liu, Zexian Cao

arxiv:1312.4606 v1 · 2013-12-17 · quant-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{XHGYWO6GXIDLM774OCOD4PSW2G}

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	2026-05-18T03:04:23.504718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9cd8b3bc6ba06b67ffc709c3e3e56d18851548cacdc4fc357f1c01ed0a41c35

Aliases

arxiv: 1312.4606 · arxiv_version: 1312.4606v1 · doi: 10.48550/arxiv.1312.4606 · pith_short_12: XHGYWO6GXIDL · pith_short_16: XHGYWO6GXIDLM774 · pith_short_8: XHGYWO6G

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/XHGYWO6GXIDLM774OCOD4PSW2G \
  | 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: b9cd8b3bc6ba06b67ffc709c3e3e56d18851548cacdc4fc357f1c01ed0a41c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2fa3b3d86526fa75cf6fafdd52d81809223f657ce859550b7cabfd49fbf831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-17T01:55:00Z",
    "title_canon_sha256": "d8da2c562c8b072d1726adfee1d77c4eee9ec0530e4a0049530c221549ef01d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4606",
    "kind": "arxiv",
    "version": 1
  }
}