Pith Number

pith:GLD7YUOE

pith:2010:GLD7YUOEGMAUDH7FSYXMP4BOVQ

not attested not anchored not stored refs pending

Energy gaps of Hamiltonians from graph Laplacians

Abbas Al-Shimary, Jiannis K. Pachos

arxiv:1010.4130 v3 · 2010-10-20 · quant-ph · cond-mat.other · 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{GLD7YUOEGMAUDH7FSYXMP4BOVQ}

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	2026-05-18T02:23:45.207588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c7fc51c43301419fe5962ec7f02eac1743d728cc4e78443057633d9db25138

Aliases

arxiv: 1010.4130 · arxiv_version: 1010.4130v3 · doi: 10.48550/arxiv.1010.4130 · pith_short_12: GLD7YUOEGMAU · pith_short_16: GLD7YUOEGMAUDH7F · pith_short_8: GLD7YUOE

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/GLD7YUOEGMAUDH7FSYXMP4BOVQ \
  | 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: 32c7fc51c43301419fe5962ec7f02eac1743d728cc4e78443057633d9db25138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38717b46d73ef7266e0613eeebaac74bfdc093924d25a05576aca4ac7416d06",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-20T08:47:14Z",
    "title_canon_sha256": "ca2cf49e54cdfecdf05fef8c33be4ee5614aac0a6690855b78ace3d95b85652c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4130",
    "kind": "arxiv",
    "version": 3
  }
}