Pith Number

pith:CFFTKZ3T

pith:2012:CFFTKZ3T4BWHA4G5IILTMRZQ55

not attested not anchored not stored refs pending

Optimal and suboptimal networks for efficient navigation measured by mean-first passage time of random walks

Guanrong Chen, Yibin Sheng, Zhengyi Hu, Zhongzhi Zhang

arxiv:1211.4295 v1 · 2012-11-19 · cond-mat.stat-mech · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFFTKZ3T4BWHA4G5IILTMRZQ55}

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	2026-05-18T03:36:17.761558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114b356773e06c7070dd4217364730ef554316d82d60e578637d787d4b3cd1e2

Aliases

arxiv: 1211.4295 · arxiv_version: 1211.4295v1 · doi: 10.48550/arxiv.1211.4295 · pith_short_12: CFFTKZ3T4BWH · pith_short_16: CFFTKZ3T4BWHA4G5 · pith_short_8: CFFTKZ3T

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/CFFTKZ3T4BWHA4G5IILTMRZQ55 \
  | 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: 114b356773e06c7070dd4217364730ef554316d82d60e578637d787d4b3cd1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90034485c9dd02e7548721711b7dfd28c9b4cfd7febb5ee9cc4a4c66b4da9c0f",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-19T03:21:58Z",
    "title_canon_sha256": "4d89e53741bcb292862e5fc34341ca46f1fda4109ca459d7b658ea6f8e7cbb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4295",
    "kind": "arxiv",
    "version": 1
  }
}