Pith Number

pith:TKP3VLIN

pith:2018:TKP3VLINP47SSDWKBZEWYZGSVH

not attested not anchored not stored refs pending

Torpid Mixing of Markov Chains for the Six-vertex Model on $\mathbb{Z}^2$

Tianyu Liu

arxiv:1809.02703 v1 · 2018-09-07 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKP3VLINP47SSDWKBZEWYZGSVH}

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	2026-05-18T00:06:15.566673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9fbaad0d7f3f290eca0e496c64d2a9c47aec22b16daccf2623621fbabacf21

Aliases

arxiv: 1809.02703 · arxiv_version: 1809.02703v1 · doi: 10.48550/arxiv.1809.02703 · pith_short_12: TKP3VLINP47S · pith_short_16: TKP3VLINP47SSDWK · pith_short_8: TKP3VLIN

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/TKP3VLINP47SSDWKBZEWYZGSVH \
  | 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: 9a9fbaad0d7f3f290eca0e496c64d2a9c47aec22b16daccf2623621fbabacf21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfe81ded7a7305307145048ab5cb14a9a16b4892969be8d5532cfc27841820d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-09-07T22:42:52Z",
    "title_canon_sha256": "155c97edf581739aa84dd8d7473a1566ad5796194d47acc7506a38d1470f098c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02703",
    "kind": "arxiv",
    "version": 1
  }
}