Pith Number

pith:S66UUG66

pith:2015:S66UUG665ERELDETDVVD2P7VGR

not attested not anchored not stored refs pending

Gapped and gapless phases of frustration-free spin-1/2 chains

David Gosset, Sergey Bravyi

arxiv:1503.04035 v3 · 2015-03-13 · quant-ph · 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{S66UUG665ERELDETDVVD2P7VGR}

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	2026-05-18T01:33:35.024409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bd4a1bdee922458c931d6a3d3ff534793f3a188d66781de54fa38b0650eba0

Aliases

arxiv: 1503.04035 · arxiv_version: 1503.04035v3 · doi: 10.48550/arxiv.1503.04035 · pith_short_12: S66UUG665ERE · pith_short_16: S66UUG665ERELDET · pith_short_8: S66UUG66

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/S66UUG665ERELDETDVVD2P7VGR \
  | 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: 97bd4a1bdee922458c931d6a3d3ff534793f3a188d66781de54fa38b0650eba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06664d717b8d66c7e7832f440cadef6bed42440c858bf381acb60a8cf7ea2327",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-03-13T12:24:33Z",
    "title_canon_sha256": "ab7982a17fb9cd8f825c8f64b28eb6edd7cae37a95bea0e5b955434d082c41c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04035",
    "kind": "arxiv",
    "version": 3
  }
}