pith. sign in
Pith Number

pith:YFIO3PH2

pith:2015:YFIO3PH2QLAPTX6MFWRGYFOUUJ
not attested not anchored not stored refs pending

Tropical Limit in Statistical Physics

B. Konopelchenko, M. Angelelli

arxiv:1502.01229 v1 · 2015-02-04 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YFIO3PH2QLAPTX6MFWRGYFOUUJ}

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 2026-05-18T02:04:06.840151Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c150edbcfa82c0f9dfcc2da26c15d4a25a0b13c6ee6ecc39432d41267a53628c

Aliases

arxiv: 1502.01229 · arxiv_version: 1502.01229v1 · doi: 10.48550/arxiv.1502.01229 · pith_short_12: YFIO3PH2QLAP · pith_short_16: YFIO3PH2QLAPTX6M · pith_short_8: YFIO3PH2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YFIO3PH2QLAPTX6MFWRGYFOUUJ \
  | 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: c150edbcfa82c0f9dfcc2da26c15d4a25a0b13c6ee6ecc39432d41267a53628c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e860bc178ea8586cd2ba04da64be8bc64eada2ed0db80305bed77d769216480d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-04T15:20:37Z",
    "title_canon_sha256": "4b1e2b58b48da7f9408a9725e10f7caf186f7e3f9fe3681499c37e06fec45d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01229",
    "kind": "arxiv",
    "version": 1
  }
}