pith. sign in
Pith Number

pith:J56YQNEK

pith:2016:J56YQNEKE2PRKIPBXAXNAO3QKJ
not attested not anchored not stored refs pending

Persistent Homology analysis of Phase Transitions

Francesco Vaccarino, Giovanni Petri, Irene Donato, Marco Pettini, Matteo Gori, Roberto Franzosi, Sarah De Nigris

arxiv:1601.03641 v1 · 2016-01-14 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J56YQNEKE2PRKIPBXAXNAO3QKJ}

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 2026-05-18T01:12:05.247392Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4f7d88348a269f1521e1b82ed03b70525e604bbf94c4fd3604aa3ce6ca45f381

Aliases

arxiv: 1601.03641 · arxiv_version: 1601.03641v1 · doi: 10.48550/arxiv.1601.03641 · pith_short_12: J56YQNEKE2PR · pith_short_16: J56YQNEKE2PRKIPB · pith_short_8: J56YQNEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J56YQNEKE2PRKIPBXAXNAO3QKJ \
  | 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: 4f7d88348a269f1521e1b82ed03b70525e604bbf94c4fd3604aa3ce6ca45f381
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f540d685c1678ceb942700c7f6c20163c110ba40090193d814866ee0ffad76d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-14T16:08:17Z",
    "title_canon_sha256": "081128a2c27d6db9aefe17f1d20c8fefba7e08bc936eee6643d575aa1947b088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03641",
    "kind": "arxiv",
    "version": 1
  }
}