Pith Number

pith:BF4LFJ2Y

pith:2020:BF4LFJ2YBXL2OQ27MZMF3LYDVT

not attested not anchored not stored refs pending

Metastability and discrete spectrum of long-range systems

Nicol\`o Defenu

arxiv:2012.15808 v2 · 2020-12-31 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BF4LFJ2YBXL2OQ27MZMF3LYDVT}

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	2026-07-05T03:07:04.415831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0978b2a7580dd7a7435f66585daf03acced2746b41ead2695395deff67aa9d88

Aliases

arxiv: 2012.15808 · arxiv_version: 2012.15808v2 · doi: 10.48550/arxiv.2012.15808 · pith_short_12: BF4LFJ2YBXL2 · pith_short_16: BF4LFJ2YBXL2OQ27 · pith_short_8: BF4LFJ2Y

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/BF4LFJ2YBXL2OQ27MZMF3LYDVT \
  | 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: 0978b2a7580dd7a7435f66585daf03acced2746b41ead2695395deff67aa9d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d216a63cb67a6136dee94b6bb00af64f3606f56d90c9407a6077d8f85217124",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-12-31T18:32:13Z",
    "title_canon_sha256": "d8bef779b7639926e23bb49f9cb18ae5d3bc8e4924243f732f6e7220f8c0e7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15808",
    "kind": "arxiv",
    "version": 2
  }
}