Pith Number

pith:LEZ3EEEW

pith:2015:LEZ3EEEWQ7UY2Q4TI46ISR2FDV

not attested not anchored not stored refs pending

Asymptotic formula on average path length of fractal networks modelled on Sierpinski Gasket

Anbo Le, Fei Gao, Lifeng Xi, Shuhua Yin

arxiv:1508.00956 v1 · 2015-08-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEZ3EEEWQ7UY2Q4TI46ISR2FDV}

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	2026-05-18T01:35:52.654050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5933b2109687e98d4393473c8947451d63c3f50602e64b3e520505d2fee1ea3e

Aliases

arxiv: 1508.00956 · arxiv_version: 1508.00956v1 · doi: 10.48550/arxiv.1508.00956 · pith_short_12: LEZ3EEEWQ7UY · pith_short_16: LEZ3EEEWQ7UY2Q4T · pith_short_8: LEZ3EEEW

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/LEZ3EEEWQ7UY2Q4TI46ISR2FDV \
  | 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: 5933b2109687e98d4393473c8947451d63c3f50602e64b3e520505d2fee1ea3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbb593a181414a9fbb021c6141d489fae5e384aba3516a50c83b77ba7acdc47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-05T02:18:43Z",
    "title_canon_sha256": "32c2ff648e504fefab8ad7f8658ad1fe0371ff9f4707b390c6eca6db15219a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00956",
    "kind": "arxiv",
    "version": 1
  }
}