Pith Number

pith:4AO6QVKG

pith:2015:4AO6QVKGO4NZQYOCTGNJSPV2JA

not attested not anchored not stored refs pending

Size-Driven Quantum Phase Transitions

Angelo Lucia, David Perez-Garcia, Johannes Bausch, Michael M. Wolf, Toby S. Cubitt

arxiv:1512.05687 v3 · 2015-12-17 · quant-ph · cond-mat.other · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AO6QVKGO4NZQYOCTGNJSPV2JA}

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	2026-05-18T00:24:31.924079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01de85546771b9861c2999a993eba4815790ecb5cfbed67a6b24bb052b138e3

Aliases

arxiv: 1512.05687 · arxiv_version: 1512.05687v3 · doi: 10.48550/arxiv.1512.05687 · pith_short_12: 4AO6QVKGO4NZ · pith_short_16: 4AO6QVKGO4NZQYOC · pith_short_8: 4AO6QVKG

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/4AO6QVKGO4NZQYOCTGNJSPV2JA \
  | 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: e01de85546771b9861c2999a993eba4815790ecb5cfbed67a6b24bb052b138e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1dd8d3c81071906e12d693d60ca00fa1bdfa955f89bd117ff9e95fa758af73",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-17T17:39:15Z",
    "title_canon_sha256": "63f0830c422eb77f98a50f371b5c1db579733f797e69c60754895559a86823c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05687",
    "kind": "arxiv",
    "version": 3
  }
}