Pith Number

pith:QM7HBIZG

pith:2011:QM7HBIZG3DEPXYHSMARAUSS4MR

not attested not anchored not stored refs pending

Stability of Frustration-Free Hamiltonians

Justyna Pytel, Spyridon Michalakis

arxiv:1109.1588 v3 · 2011-09-07 · 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{QM7HBIZG3DEPXYHSMARAUSS4MR}

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	2026-05-18T03:18:06.519207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833e70a326d8c8fbe0f260220a4a5c645f1ef66437c6e3dd66f003cf0ad73110

Aliases

arxiv: 1109.1588 · arxiv_version: 1109.1588v3 · doi: 10.48550/arxiv.1109.1588 · pith_short_12: QM7HBIZG3DEP · pith_short_16: QM7HBIZG3DEPXYHS · pith_short_8: QM7HBIZG

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/QM7HBIZG3DEPXYHSMARAUSS4MR \
  | 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: 833e70a326d8c8fbe0f260220a4a5c645f1ef66437c6e3dd66f003cf0ad73110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e30bf670bf1ccc0dd13b87b41a70312feb12325a7da8954840b357c8a64a2e",
    "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": "2011-09-07T22:10:05Z",
    "title_canon_sha256": "34adb6da90690d09201c1e5bb4474c5cbfd33747bfbe9900c78206295b905f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1588",
    "kind": "arxiv",
    "version": 3
  }
}