Pith Number

pith:ALFT6X4R

pith:2019:ALFT6X4R2BFXR5C7VF5QOQS7DB

not attested not anchored not stored refs pending

Effects of energy extensivity on the quantum phases of long-range interacting systems

Andrea Trombettoni, David Hagenm\"uller, Guido Masella, Guido Pupillo, J\'er\^ome Dubail, Nicol\`o Defenu, Thomas Botzung

arxiv:1909.12105 v1 · 2019-09-26 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALFT6X4R2BFXR5C7VF5QOQS7DB}

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	2026-07-05T02:35:11.157250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cb3f5f91d04b78f45fa97b07425f185dd4eaafa4481cb2fb9025eb8d6e2a97

Aliases

arxiv: 1909.12105 · arxiv_version: 1909.12105v1 · doi: 10.48550/arxiv.1909.12105 · pith_short_12: ALFT6X4R2BFX · pith_short_16: ALFT6X4R2BFXR5C7 · pith_short_8: ALFT6X4R

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/ALFT6X4R2BFXR5C7VF5QOQS7DB \
  | 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: 02cb3f5f91d04b78f45fa97b07425f185dd4eaafa4481cb2fb9025eb8d6e2a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c21ea49dab3d4372fc2f63484fd9f28b89114fefb0f9689bb1048bede670cc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2019-09-26T13:52:51Z",
    "title_canon_sha256": "91f3800d5e9bc5de62c495471608ae471af8beea8e25d3545c2c9a24cdff093c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12105",
    "kind": "arxiv",
    "version": 1
  }
}