Pith Number

pith:VYQDWRPN

pith:2019:VYQDWRPNPZN6AXZ2XLTWXI2YSO

not attested not anchored not stored refs pending

FPRAS for the Potts Model and the Number of $k$-colorings

Hanpin Wang, Yongzhi Cao, Zonglei Bai

arxiv:1902.09114 v3 · 2019-02-25 · cs.DS · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYQDWRPNPZN6AXZ2XLTWXI2YSO}

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	2026-05-17T23:52:31.697431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae203b45ed7e5be05f3abae76ba35893a1949fe846491d4c60c1cb2773a6da42

Aliases

arxiv: 1902.09114 · arxiv_version: 1902.09114v3 · doi: 10.48550/arxiv.1902.09114 · pith_short_12: VYQDWRPNPZN6 · pith_short_16: VYQDWRPNPZN6AXZ2 · pith_short_8: VYQDWRPN

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/VYQDWRPNPZN6AXZ2XLTWXI2YSO \
  | 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: ae203b45ed7e5be05f3abae76ba35893a1949fe846491d4c60c1cb2773a6da42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd91c09e7a4bea4ddd4623a2638f8630093534324efc3590eff38ea4eb9992b",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-02-25T07:17:58Z",
    "title_canon_sha256": "e9d50903cbdc487c58e53e0fdcbdd65932a9014850c36eb448e87b4aa2dbcf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09114",
    "kind": "arxiv",
    "version": 3
  }
}