Pith Number

pith:G6TXIFNR

pith:2026:G6TXIFNRDHU5T22L2VB47RDXW2

not attested not anchored not stored refs pending

Optimal designs of heterogeneous grid transit networks

Haoyang Mao, Li Zhen, Weihua Gu, Wenbo Fan

arxiv:2605.23230 v1 · 2026-05-22 · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6TXIFNRDHU5T22L2VB47RDXW2}

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	2026-05-25T02:01:44.713628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a77415b119e9d9eb4bd543cfc477b6af36fe6d598c6338ad16471b0a814ff1

Aliases

arxiv: 2605.23230 · arxiv_version: 2605.23230v1 · doi: 10.48550/arxiv.2605.23230 · pith_short_12: G6TXIFNRDHU5 · pith_short_16: G6TXIFNRDHU5T22L · pith_short_8: G6TXIFNR

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/G6TXIFNRDHU5T22L2VB47RDXW2 \
  | 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: 37a77415b119e9d9eb4bd543cfc477b6af36fe6d598c6338ad16471b0a814ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4e3e93796c8509c1d2ba36482b50f72cb5a07b73964d72c9cd86ebacfaeda1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2026-05-22T04:47:54Z",
    "title_canon_sha256": "a9703a6b087ad8c91dedf2fe47fad08335ceb0c77bc3d999169598991234c885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23230",
    "kind": "arxiv",
    "version": 1
  }
}