Pith Number

pith:KTLEQ3II

pith:2011:KTLEQ3IID2H2SPOCU4COWF7JA4

not attested not anchored not stored refs pending

A long-time limit of world subway networks

Camille Roth, Marc Barthelemy, Michael Batty, Soong Moon Kang

arxiv:1105.5294 v3 · 2011-05-26 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTLEQ3IID2H2SPOCU4COWF7JA4}

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	2026-05-18T03:33:26.690798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d6486d081e8fa93dc2a704eb17e9073cdaa4f0b00622760e8041b6549291f5

Aliases

arxiv: 1105.5294 · arxiv_version: 1105.5294v3 · doi: 10.48550/arxiv.1105.5294 · pith_short_12: KTLEQ3IID2H2 · pith_short_16: KTLEQ3IID2H2SPOC · pith_short_8: KTLEQ3II

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/KTLEQ3IID2H2SPOCU4COWF7JA4 \
  | 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: 54d6486d081e8fa93dc2a704eb17e9073cdaa4f0b00622760e8041b6549291f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4935bf58db80a200cb5e77c674ec8c6bd5dd898f9aeff66f7b440b4232ec8893",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-05-26T14:07:41Z",
    "title_canon_sha256": "8791a492937f678f12c55060ecd75f3c18408b54420ccac6433276568e4bbda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5294",
    "kind": "arxiv",
    "version": 3
  }
}