Pith Number

pith:HX3XDGE2

pith:2016:HX3XDGE2RZZ2QIBSHNMRSWRHAE

not attested not anchored not stored refs pending

Sensitivity of mixing times in Eulerian digraphs

Lucas Boczkowski, Perla Sousi, Yuval Peres

arxiv:1603.05639 v1 · 2016-03-17 · math.PR · 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{HX3XDGE2RZZ2QIBSHNMRSWRHAE}

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	2026-05-18T01:18:55.954384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df771989a8e73a820323b59195a270113a6d80922cf1be4dd452effbde56ea8

Aliases

arxiv: 1603.05639 · arxiv_version: 1603.05639v1 · doi: 10.48550/arxiv.1603.05639 · pith_short_12: HX3XDGE2RZZ2 · pith_short_16: HX3XDGE2RZZ2QIBS · pith_short_8: HX3XDGE2

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/HX3XDGE2RZZ2QIBSHNMRSWRHAE \
  | 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: 3df771989a8e73a820323b59195a270113a6d80922cf1be4dd452effbde56ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e902460f4a48ef76d286bc428ffd094e302fae6eb10b44e2a93851df66b53605",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-17T19:47:05Z",
    "title_canon_sha256": "8157c83fe9db528d32f99ed6a061da23190ec55465752bf2c4158356f6a82785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05639",
    "kind": "arxiv",
    "version": 1
  }
}