Pith Number

pith:NDWUY3NU

pith:2015:NDWUY3NUAKXEBASZWBYZVFGEGI

not attested not anchored not stored refs pending

On the General Randi\'c index of polymeric networks modelled by generalized Sierpi\'nski graphs

Alejandro Estrada-Moreno, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1510.07982 v2 · 2015-10-27 · 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{NDWUY3NUAKXEBASZWBYZVFGEGI}

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	2026-05-18T00:31:52.264310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ed4c6db402ae408259b0719a94c43208f15be5bdb15b29ccf9d07898eacd3d

Aliases

arxiv: 1510.07982 · arxiv_version: 1510.07982v2 · doi: 10.48550/arxiv.1510.07982 · pith_short_12: NDWUY3NUAKXE · pith_short_16: NDWUY3NUAKXEBASZ · pith_short_8: NDWUY3NU

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/NDWUY3NUAKXEBASZWBYZVFGEGI \
  | 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: 68ed4c6db402ae408259b0719a94c43208f15be5bdb15b29ccf9d07898eacd3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ee1d2296e66f35508ff17b98f61d6ab28464720fe90dad25b597a808d8323b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-27T16:50:44Z",
    "title_canon_sha256": "4e6ca0971fce534e27ea519802bc9ce8559af36f986fb48be94dc803ac880d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07982",
    "kind": "arxiv",
    "version": 2
  }
}