Pith Number

pith:NV5SSUZ6

pith:2020:NV5SSUZ6UR5CPS7FM4U3YFWRP3

not attested not anchored not stored refs pending

The effective impedances of infinite ladder networks and Dirichlet problem on graphs

Anna Muranova

arxiv:2004.09284 v1 · 2020-04-20 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NV5SSUZ6UR5CPS7FM4U3YFWRP3}

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	2026-06-19T16:11:06.966489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7b29533ea47a27cbe56729bc16d17ef1f1f5c4c0b4e8c80feb6cc2a8a16da4

Aliases

arxiv: 2004.09284 · arxiv_version: 2004.09284v1 · doi: 10.48550/arxiv.2004.09284 · pith_short_12: NV5SSUZ6UR5C · pith_short_16: NV5SSUZ6UR5CPS7F · pith_short_8: NV5SSUZ6

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/NV5SSUZ6UR5CPS7FM4U3YFWRP3 \
  | 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: 6d7b29533ea47a27cbe56729bc16d17ef1f1f5c4c0b4e8c80feb6cc2a8a16da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d03e3c404f86c9935ae0b19bf3881255dca6a539f02afc689783697c97b7b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-20T13:38:59Z",
    "title_canon_sha256": "5f918c370d692e04c1212179e8d8637c71e95f03df890d0c63ccbe12c9157bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09284",
    "kind": "arxiv",
    "version": 1
  }
}