Pith Number

pith:PS7PDU7Y

pith:2016:PS7PDU7YCXMR23GHZDWBPSK5TB

not attested not anchored not stored refs pending

Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain

Amr Ahmadain, Israel Klich, Zhao Zhang

arxiv:1606.07795 v1 · 2016-06-24 · quant-ph · cond-mat.stat-mech · 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{PS7PDU7YCXMR23GHZDWBPSK5TB}

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.

Cited by

1 paper in Pith

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems

Receipt and verification

First computed	2026-05-18T01:11:55.709509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cbef1d3f815d91d6cc7c8ec17c95d9870cd1263b006f2cebe015338d53c1ad1

Aliases

arxiv: 1606.07795 · arxiv_version: 1606.07795v1 · doi: 10.48550/arxiv.1606.07795 · pith_short_12: PS7PDU7YCXMR · pith_short_16: PS7PDU7YCXMR23GH · pith_short_8: PS7PDU7Y

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/PS7PDU7YCXMR23GHZDWBPSK5TB \
  | 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: 7cbef1d3f815d91d6cc7c8ec17c95d9870cd1263b006f2cebe015338d53c1ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c0ebf3c4c12accffa9f35b3166ba17a3635834f3a9838ab990bd59438973c2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-24T19:27:59Z",
    "title_canon_sha256": "09195de677cb33804f08573e17a7695bd6cd8906ef7fc3805cccbf758db4b909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07795",
    "kind": "arxiv",
    "version": 1
  }
}