Pith Number

pith:SONYNMNH

pith:2013:SONYNMNH2U3UBYODONDCNGVDIP

not attested not anchored not stored refs pending

Average resistance of toroidal graphs

Fabio Fagnani, Paolo Frasca, Wilbert Samuel Rossi

arxiv:1309.2172 v2 · 2013-09-09 · 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{SONYNMNH2U3UBYODONDCNGVDIP}

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	2026-05-18T01:42:57.695411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939b86b1a7d53740e1c37346269aa343f5b4302fe2acbd98eec44a5e548bd62e

Aliases

arxiv: 1309.2172 · arxiv_version: 1309.2172v2 · doi: 10.48550/arxiv.1309.2172 · pith_short_12: SONYNMNH2U3U · pith_short_16: SONYNMNH2U3UBYOD · pith_short_8: SONYNMNH

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/SONYNMNH2U3UBYODONDCNGVDIP \
  | 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: 939b86b1a7d53740e1c37346269aa343f5b4302fe2acbd98eec44a5e548bd62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd366c73ad54ee1149e6405646b70f5ecbb885b23bdafb1b7b5d739ada19c4e",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-09T14:31:15Z",
    "title_canon_sha256": "1d83df256d975d31c027d345cd9fdb87e591e662c4530c47258d5a8e930d6423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2172",
    "kind": "arxiv",
    "version": 2
  }
}