Pith Number

pith:VNSWIMOL

pith:2018:VNSWIMOL6HWLDAM72YWNR5SZYJ

not attested not anchored not stored refs pending

The cover time of a biased random walk on a random regular graph of odd degree

Tony Johansson

arxiv:1805.05780 v1 · 2018-05-12 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNSWIMOL6HWLDAM72YWNR5SZYJ}

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	2026-05-18T00:15:53.703503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab656431cbf1ecb1819fd62cd8f659c24c03a80c0e15426df6c52d41f89cf9d6

Aliases

arxiv: 1805.05780 · arxiv_version: 1805.05780v1 · doi: 10.48550/arxiv.1805.05780 · pith_short_12: VNSWIMOL6HWL · pith_short_16: VNSWIMOL6HWLDAM7 · pith_short_8: VNSWIMOL

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/VNSWIMOL6HWLDAM72YWNR5SZYJ \
  | 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: ab656431cbf1ecb1819fd62cd8f659c24c03a80c0e15426df6c52d41f89cf9d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0269caa9fd0b7aaa03f153ce4ec0b5b4a22434dda545f93876c45375fc17e8d9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-12T10:30:09Z",
    "title_canon_sha256": "edaad8186dd0cd64c5aed526cbd881ace50237a3e85dad62994406e708458ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05780",
    "kind": "arxiv",
    "version": 1
  }
}