Pith Number

pith:PBRRPRPH

pith:2014:PBRRPRPHHJXZITZH77A5KVPWWS

not attested not anchored not stored refs pending

Optimal Transport in Worldwide Metro Networks

Jiao Gu, Jihui Han, Longfeng Zhao, Shengfeng Deng, Shiping Liu, Wei Li, Xu Cai, Yueying Zhu

arxiv:1403.7844 v4 · 2014-03-31 · physics.soc-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{PBRRPRPHHJXZITZH77A5KVPWWS}

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	2026-05-18T02:54:20.780287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786317c5e73a6f944f27ffc1d555f6b4a951c763519db7e98ef38505c393b2a4

Aliases

arxiv: 1403.7844 · arxiv_version: 1403.7844v4 · doi: 10.48550/arxiv.1403.7844 · pith_short_12: PBRRPRPHHJXZ · pith_short_16: PBRRPRPHHJXZITZH · pith_short_8: PBRRPRPH

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/PBRRPRPHHJXZITZH77A5KVPWWS \
  | 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: 786317c5e73a6f944f27ffc1d555f6b4a951c763519db7e98ef38505c393b2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd8b3cf90344499cef7984fab9c94552060af8f5fcde6666e1d9084e66803d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-03-31T01:45:04Z",
    "title_canon_sha256": "14b01d35dfdd3c94db2ac57b25e41443822d6b81554751f4e54f7bbf4c33dc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7844",
    "kind": "arxiv",
    "version": 4
  }
}