Pith Number

pith:LE3WI4HY

pith:2017:LE3WI4HY7RUP3AG6I3S5JUNK3J

not attested not anchored not stored refs pending

Criticality and Phase Diagram of Quantum Long-Range $\text{O(N)}$ models

Andrea Trombettoni, Nicolo Defenu, Stefano Ruffo

arxiv:1704.00528 v2 · 2017-04-03 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE3WI4HY7RUP3AG6I3S5JUNK3J}

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	2026-05-18T00:34:18.594903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59376470f8fc68fd80de46e5d4d1aada5858531fef0cf455aa446da9e857d4b7

Aliases

arxiv: 1704.00528 · arxiv_version: 1704.00528v2 · doi: 10.48550/arxiv.1704.00528 · pith_short_12: LE3WI4HY7RUP · pith_short_16: LE3WI4HY7RUP3AG6 · pith_short_8: LE3WI4HY

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/LE3WI4HY7RUP3AG6I3S5JUNK3J \
  | 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: 59376470f8fc68fd80de46e5d4d1aada5858531fef0cf455aa446da9e857d4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf37288f062109461d8c10d008d6b9111e71970f0818b373d82015574af1cc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2017-04-03T11:13:56Z",
    "title_canon_sha256": "083b32054fce5818ba1d7301b9ba90fe91cd0ac3681c691c0213ce3d5f87bee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00528",
    "kind": "arxiv",
    "version": 2
  }
}