Pith Number

pith:X5BXC3AI

pith:2018:X5BXC3AIJ6V5XCBZNSSBWD7PIX

not attested not anchored not stored refs pending

Estimating Shortest Path Length Distributions via Random Walk Sampling

Bruce D. Spencer, Minhui Zheng

arxiv:1806.01757 v2 · 2018-06-05 · stat.AP · cs.SI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5BXC3AIJ6V5XCBZNSSBWD7PIX}

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	2026-05-18T00:13:43.976163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf43716c084fabdb88396ca41b0fef45e8b96f6aeded6774279359ce83c4f12b

Aliases

arxiv: 1806.01757 · arxiv_version: 1806.01757v2 · doi: 10.48550/arxiv.1806.01757 · pith_short_12: X5BXC3AIJ6V5 · pith_short_16: X5BXC3AIJ6V5XCBZ · pith_short_8: X5BXC3AI

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/X5BXC3AIJ6V5XCBZNSSBWD7PIX \
  | 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: bf43716c084fabdb88396ca41b0fef45e8b96f6aeded6774279359ce83c4f12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb8f85bf1a2abd1506f0ba2503b53e93f6f6c2761fe2bef46d17f4d51d8f46a",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2018-06-05T15:54:50Z",
    "title_canon_sha256": "2d7aca188d173b6083108ee8aa043e0a33e60ddb6fa8a65d2b43ff58dbb2b9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01757",
    "kind": "arxiv",
    "version": 2
  }
}