pith. sign in
Pith Number

pith:LUMUT2VF

pith:2010:LUMUT2VFCX2VRKF53MM7KMRI7C
not attested not anchored not stored refs pending

Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions

F. Vazquez, M. San Miguel, X. Castello

arxiv:1002.1251 v1 · 2010-02-05 · physics.soc-ph · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LUMUT2VFCX2VRKF53MM7KMRI7C}

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 2026-05-18T02:09:19.098349Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5d1949eaa515f558a8bddb19f53228f8b6296c51d04f3cb29fcd2aaa68ac9ce8

Aliases

arxiv: 1002.1251 · arxiv_version: 1002.1251v1 · doi: 10.48550/arxiv.1002.1251 · pith_short_12: LUMUT2VFCX2V · pith_short_16: LUMUT2VFCX2VRKF5 · pith_short_8: LUMUT2VF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LUMUT2VFCX2VRKF53MM7KMRI7C \
  | 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: 5d1949eaa515f558a8bddb19f53228f8b6296c51d04f3cb29fcd2aaa68ac9ce8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e5efbc534b09c7d7e5d7704feb0c8a50b9093a676bc3380beac0ead6193c34e0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-02-05T16:09:39Z",
    "title_canon_sha256": "979632c44d35b627f87017ccf4d4e63fd9d6575c8b3a4bfbe61816dd208e3766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1251",
    "kind": "arxiv",
    "version": 1
  }
}