Pith Number

pith:2CT5YCBV

pith:2019:2CT5YCBVDUGXCQ2X6X3PRDN5TN

not attested not anchored not stored refs pending

Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy

A. Pizzo, J. Fr\"ohlich, S. Del Vecchio, S. Rossi

arxiv:1908.07486 v1 · 2019-08-18 · 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{2CT5YCBVDUGXCQ2X6X3PRDN5TN}

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	2026-07-04T23:58:35.561742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a7dc08351d0d714357f5f6f88dbd9b71b129b48e06c167209fabf83e201fd9

Aliases

arxiv: 1908.07486 · arxiv_version: 1908.07486v1 · doi: 10.48550/arxiv.1908.07486 · pith_short_12: 2CT5YCBVDUGX · pith_short_16: 2CT5YCBVDUGXCQ2X · pith_short_8: 2CT5YCBV

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/2CT5YCBVDUGXCQ2X6X3PRDN5TN \
  | 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: d0a7dc08351d0d714357f5f6f88dbd9b71b129b48e06c167209fabf83e201fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20aab72d0e20b990cf7f64fe19a1cd7cf30299b33e416a3c7c0e9b507ca45d34",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-18T09:17:20Z",
    "title_canon_sha256": "8eac77806f2dc8ebb691d0105c409c2a355bef3e56d3ace3b120c8e633419b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07486",
    "kind": "arxiv",
    "version": 1
  }
}