Pith Number

pith:KJCJFNA3

pith:2016:KJCJFNA37RVZPEZXFH25KU6XNV

not attested not anchored not stored refs pending

Extreme values of the stationary distribution of random walks on directed graphs

Fan Chung, Sinan Aksoy, Xing Peng

arxiv:1602.01162 v1 · 2016-02-03 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJCJFNA37RVZPEZXFH25KU6XNV}

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	2026-05-18T01:21:23.448895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524492b41bfc6b97933729f5d553d76d61234871a57679023849a0a3e1e69cc4

Aliases

arxiv: 1602.01162 · arxiv_version: 1602.01162v1 · doi: 10.48550/arxiv.1602.01162 · pith_short_12: KJCJFNA37RVZ · pith_short_16: KJCJFNA37RVZPEZX · pith_short_8: KJCJFNA3

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/KJCJFNA37RVZPEZXFH25KU6XNV \
  | 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: 524492b41bfc6b97933729f5d553d76d61234871a57679023849a0a3e1e69cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5a81cbc98d19b4dc33974f10bc395a46f32d4f123f1b6bff8094496f12cb1c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-03T01:14:26Z",
    "title_canon_sha256": "f06f33ed02b40ff3d9d0eee031cb4ace7cc31593f5ca14e1a1152bca727e0cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01162",
    "kind": "arxiv",
    "version": 1
  }
}