Pith. sign in
Pith Number

pith:64LEMDFG

pith:2020:64LEMDFGHUNHYKGEYJIHLS6MPY
not attested not anchored not stored refs pending

Dimer model and holomorphic functions on t-embeddings of planar graphs

Beno\^it Laslier, Dmitry Chelkak, Marianna Russkikh

arxiv:2001.11871 v3 · 2020-01-31 · math.PR · math-ph · math.CV · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{64LEMDFGHUNHYKGEYJIHLS6MPY}

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 2026-07-05T05:13:27.361004Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f716460ca63d1a7c28c4c25075cbcc7e331277324c8f604e028778cbbbacb070

Aliases

arxiv: 2001.11871 · arxiv_version: 2001.11871v3 · doi: 10.48550/arxiv.2001.11871 · pith_short_12: 64LEMDFGHUNH · pith_short_16: 64LEMDFGHUNHYKGE · pith_short_8: 64LEMDFG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/64LEMDFGHUNHYKGEYJIHLS6MPY \
  | 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: f716460ca63d1a7c28c4c25075cbcc7e331277324c8f604e028778cbbbacb070
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "325ad1f584f5fb6875fc0b24ff7e92e1e3a57bbb0ad68b1a8b14713c336d217a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-01-31T14:42:44Z",
    "title_canon_sha256": "9ee8e06b9d17c684fcd12058602be8e63f543da5b3478297002be3e64aebe218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11871",
    "kind": "arxiv",
    "version": 3
  }
}