Pith Number

pith:3N4EPDST

pith:2015:3N4EPDST6U3DSPPK3GP2PY7Z2A

not attested not anchored not stored refs pending

Local gap threshold for frustration-free spin systems

David Gosset, Evgeny Mozgunov

arxiv:1512.00088 v1 · 2015-11-30 · quant-ph · cond-mat.str-el · 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{3N4EPDST6U3DSPPK3GP2PY7Z2A}

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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	2026-05-18T01:02:45.437954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db78478e53f536393dead99fa7e3f9d00308ea6e3623de05a9748f3cfd2df5ee

Aliases

arxiv: 1512.00088 · arxiv_version: 1512.00088v1 · doi: 10.48550/arxiv.1512.00088 · pith_short_12: 3N4EPDST6U3D · pith_short_16: 3N4EPDST6U3DSPPK · pith_short_8: 3N4EPDST

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/3N4EPDST6U3DSPPK3GP2PY7Z2A \
  | 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: db78478e53f536393dead99fa7e3f9d00308ea6e3623de05a9748f3cfd2df5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc33981689eefb5bb563699ccc5539bb7f305221f7da330c9f069b01d6b1b7d9",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-30T23:18:32Z",
    "title_canon_sha256": "679d36c781f31cea9769924a40cafe36148b974b87eda20b823d642c1d88f071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00088",
    "kind": "arxiv",
    "version": 1
  }
}