Pith Number

pith:5ZYVASFU

pith:2026:5ZYVASFUUOQ2JZ55RLR75AZM2A

not attested not anchored not stored refs pending

Return Probability for the Switch--Walk--Switch Lamplighter Walk on a Regular Tree

Chenyang An, Minghao Pan

arxiv:2605.21744 v1 · 2026-05-20 · 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{5ZYVASFUUOQ2JZ55RLR75AZM2A}

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	2026-05-22T01:03:30.267105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee715048b4a3a1a4e7bd8ae3fe832cd0115dcf53a1b1f8a2bb6c1095ab20de61

Aliases

arxiv: 2605.21744 · arxiv_version: 2605.21744v1 · doi: 10.48550/arxiv.2605.21744 · pith_short_12: 5ZYVASFUUOQ2 · pith_short_16: 5ZYVASFUUOQ2JZ55 · pith_short_8: 5ZYVASFU

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/5ZYVASFUUOQ2JZ55RLR75AZM2A \
  | 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: ee715048b4a3a1a4e7bd8ae3fe832cd0115dcf53a1b1f8a2bb6c1095ab20de61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f138aaa0d209e45d812363af41dc6bce44e5841ff1e5cfe71cb4e706b6cded6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T21:12:57Z",
    "title_canon_sha256": "e32809f7d026dcecb40c1b8dba54aa7c5110523e4e0607e88572c8f846ac0d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21744",
    "kind": "arxiv",
    "version": 1
  }
}