Pith Number

pith:UO4FJ3CG

pith:2018:UO4FJ3CGYIFL3JQNSCKCIH6KWF

not attested not anchored not stored refs pending

Spectral gaps of frustration-free spin systems with boundary

Evgeny Mozgunov, Marius Lemm

arxiv:1801.08915 v2 · 2018-01-26 · 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{UO4FJ3CGYIFL3JQNSCKCIH6KWF}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-17T23:42:30.925994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b854ec46c20abda60d9094241fcab15992dc2d3db79320685595f0ad8f716e

Aliases

arxiv: 1801.08915 · arxiv_version: 1801.08915v2 · doi: 10.48550/arxiv.1801.08915 · pith_short_12: UO4FJ3CGYIFL · pith_short_16: UO4FJ3CGYIFL3JQN · pith_short_8: UO4FJ3CG

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/UO4FJ3CGYIFL3JQNSCKCIH6KWF \
  | 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: a3b854ec46c20abda60d9094241fcab15992dc2d3db79320685595f0ad8f716e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328f804bf83906bea18c1a6645099b125eeacad8fc83149e965be9ded027c5da",
    "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": "2018-01-26T17:51:23Z",
    "title_canon_sha256": "72d6494c5f8a4220edc9b404e1214075fe19a1d347e464caecdbb94d65aef821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08915",
    "kind": "arxiv",
    "version": 2
  }
}