Pith Number

pith:7VHEM2HM

pith:2020:7VHEM2HMLCLJB4ICCNTQ3B4SUI

not attested not anchored not stored refs pending

Importance of the spectral gap in estimating ground-state energies

Abhinav Deshpande, Alexey V. Gorshkov, Bill Fefferman

arxiv:2007.11582 v2 · 2020-07-22 · quant-ph · cond-mat.stat-mech · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VHEM2HMLCLJB4ICCNTQ3B4SUI}

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	2026-07-05T05:23:55.605271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4e4668ec589690f10213670d8792a20aee82744225342690fb40c3aa6db374

Aliases

arxiv: 2007.11582 · arxiv_version: 2007.11582v2 · doi: 10.48550/arxiv.2007.11582 · pith_short_12: 7VHEM2HMLCLJ · pith_short_16: 7VHEM2HMLCLJB4IC · pith_short_8: 7VHEM2HM

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/7VHEM2HMLCLJB4ICCNTQ3B4SUI \
  | 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: fd4e4668ec589690f10213670d8792a20aee82744225342690fb40c3aa6db374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8dc86bc907d1356643a7fc4f9c27f51e0eb179c1423d9294382d404a868658",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-07-22T18:00:00Z",
    "title_canon_sha256": "8e5e2883aafaf97802c79bd8734b50ff6d950b45c8f448c28dcf51029f4e8cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.11582",
    "kind": "arxiv",
    "version": 2
  }
}