Pith Number

pith:MSPLHU4Z

pith:2018:MSPLHU4ZCLAKS5O2ZCB3XU4GFO

not attested not anchored not stored refs pending

Exceptional graphs for the random walk

Alex Roberts, Alex Scott, Bhargav Narayanan, Carla Groenland, Juhan Aru, Tom Johnston

arxiv:1805.06277 v2 · 2018-05-16 · 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{MSPLHU4ZCLAKS5O2ZCB3XU4GFO}

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	2026-05-18T00:06:24.809598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649eb3d39912c0a975dac883bbd3862ba86d5ee8b6838037b5530edfd23229e2

Aliases

arxiv: 1805.06277 · arxiv_version: 1805.06277v2 · doi: 10.48550/arxiv.1805.06277 · pith_short_12: MSPLHU4ZCLAK · pith_short_16: MSPLHU4ZCLAKS5O2 · pith_short_8: MSPLHU4Z

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/MSPLHU4ZCLAKS5O2ZCB3XU4GFO \
  | 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: 649eb3d39912c0a975dac883bbd3862ba86d5ee8b6838037b5530edfd23229e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ad7bec7de2a93edb92db8b766d77d8d7768b2f9edadc92a68f27f9d00c4e12",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-16T12:47:42Z",
    "title_canon_sha256": "399d5c50278125a3bae4669e8a939980971e0360f4ae7fa64b07fed883122c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06277",
    "kind": "arxiv",
    "version": 2
  }
}