Pith Number

pith:IW7DXVC2

pith:2021:IW7DXVC2YGWVUZOKNKDQGAZTDN

not attested not anchored not stored refs pending

Backbone and shortest-path exponents of the two-dimensional $Q$-state Potts model

Da Ke, Sheng Fang, Wei Zhong, Youjin Deng

arxiv:2112.10162 v3 · 2021-12-19 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW7DXVC2YGWVUZOKNKDQGAZTDN}

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.

Cited by

1 paper in Pith

Percolation transition of strongly connected clusters in finite dimensions and on complete graphs

Receipt and verification

First computed	2026-07-05T04:15:28.642155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45be3bd45ac1ad5a65ca6a870303331b495e6b09fababa564823dcd9c32b7bb9

Aliases

arxiv: 2112.10162 · arxiv_version: 2112.10162v3 · doi: 10.48550/arxiv.2112.10162 · pith_short_12: IW7DXVC2YGWV · pith_short_16: IW7DXVC2YGWVUZOK · pith_short_8: IW7DXVC2

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/IW7DXVC2YGWVUZOKNKDQGAZTDN \
  | 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: 45be3bd45ac1ad5a65ca6a870303331b495e6b09fababa564823dcd9c32b7bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8457c378011a9e94884a91c7cab7fd0b32d671d210571c820985ac8c37f7c2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-12-19T14:54:03Z",
    "title_canon_sha256": "18f5b9a2e2ab8bb810c96aa1328fa184b399db13cda92b77acec335ecca71c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10162",
    "kind": "arxiv",
    "version": 3
  }
}