Pith Number

pith:6FXKWLJS

pith:2013:6FXKWLJSI3J5577YGOV7VKVMHT

not attested not anchored not stored refs pending

A New Notion of Effective Resistance for Directed Graphs-Part I: Definition and Properties

George Forrest Young, Luca Scardovi, Naomi Ehrich Leonard

arxiv:1310.5163 v2 · 2013-10-18 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FXKWLJSI3J5577YGOV7VKVMHT}

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	2026-05-18T03:09:32.751755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16eab2d3246d3defff833abfaaaac3cdf6aae22fdbb585eaa6a346ba7845d9b

Aliases

arxiv: 1310.5163 · arxiv_version: 1310.5163v2 · doi: 10.48550/arxiv.1310.5163 · pith_short_12: 6FXKWLJSI3J5 · pith_short_16: 6FXKWLJSI3J5577Y · pith_short_8: 6FXKWLJS

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/6FXKWLJSI3J5577YGOV7VKVMHT \
  | 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: f16eab2d3246d3defff833abfaaaac3cdf6aae22fdbb585eaa6a346ba7845d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1084f8cd004cf4efed521e626a90362d851051629f3086850bc23289fd7e3d75",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-18T21:16:24Z",
    "title_canon_sha256": "e54022345133387e3d2528fdb4a6adc5db3365e9b3ac4c3952962f8a7764d566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5163",
    "kind": "arxiv",
    "version": 2
  }
}