Pith Number

pith:4VOAT4OP

pith:2023:4VOAT4OPGY35A2K67DH4CLXM2X

not attested not anchored not stored refs pending

Resistance Distances in Directed Graphs: Definitions, Properties, and Applications

Huan Li, Liwang Zhu, Mingzhe Zhu, Wei Li, Zhongzhi Zhang

arxiv:2302.04114 v1 · 2023-02-08 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VOAT4OPGY35A2K67DH4CLXM2X}

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	2026-07-05T05:40:01.269373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55c09f1cf3637d0695ef8cfc12eecd5f11355bfcfa4d422d13581c242e5bbad

Aliases

arxiv: 2302.04114 · arxiv_version: 2302.04114v1 · doi: 10.48550/arxiv.2302.04114 · pith_short_12: 4VOAT4OPGY35 · pith_short_16: 4VOAT4OPGY35A2K6 · pith_short_8: 4VOAT4OP

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/4VOAT4OPGY35A2K67DH4CLXM2X \
  | 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: e55c09f1cf3637d0695ef8cfc12eecd5f11355bfcfa4d422d13581c242e5bbad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d2b7eb9ea3d37aa3bdfa9befc4d37bf85b6e30e0a9047bba425214d65a23ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2023-02-08T15:12:02Z",
    "title_canon_sha256": "63d9bcf509b5ea04a00d1b57961ca7ce71c88784774cde2923dc39429e06ea00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.04114",
    "kind": "arxiv",
    "version": 1
  }
}