Pith Number

pith:ZYHA4NFZ

pith:2017:ZYHA4NFZP3RUQ2XENYLZYIHMWW

not attested not anchored not stored refs pending

Note on "Average resistance of toroidal graphs" by Rossi, Frasca and Fagnani

Fabio Fagnani, Paolo Frasca, Wilbert Samuel Rossi

arxiv:1702.00293 v1 · 2017-02-01 · 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{ZYHA4NFZP3RUQ2XENYLZYIHMWW}

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	2026-05-18T00:51:34.712833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0e0e34b97ee3486ae46e179c20ecb5ad4152cedc40c8d1962dc4bc692ae4a2

Aliases

arxiv: 1702.00293 · arxiv_version: 1702.00293v1 · doi: 10.48550/arxiv.1702.00293 · pith_short_12: ZYHA4NFZP3RU · pith_short_16: ZYHA4NFZP3RUQ2XE · pith_short_8: ZYHA4NFZ

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/ZYHA4NFZP3RUQ2XENYLZYIHMWW \
  | 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: ce0e0e34b97ee3486ae46e179c20ecb5ad4152cedc40c8d1962dc4bc692ae4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947d6688c21be60dc5015ec7012198ca8ee4b7246490162a0a6ed33482f75e25",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-01T14:51:20Z",
    "title_canon_sha256": "975c5a7b94820ac7830ba8aa4ea3df34bdede2d763e61222d366bab9434e2a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00293",
    "kind": "arxiv",
    "version": 1
  }
}