Pith Number

pith:6GHEEZSW

pith:2015:6GHEEZSWEHX5R4IKPHGOJFXWF2

not attested not anchored not stored refs pending

The hidden hyperbolic geometry of international trade: World Trade Atlas 1870-2013

Antoine Allard, Guillermo Garc\'ia-P\'erez, M. \'Angeles Serrano, Mari\'an Bogu\~n\'a

arxiv:1512.02233 v2 · 2015-12-07 · physics.soc-ph · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GHEEZSWEHX5R4IKPHGOJFXWF2}

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	2026-05-18T01:15:14.570742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f18e42665621efd8f10a79cce496f62e8cae6514fdb7c8b9c88d3641049ec241

Aliases

arxiv: 1512.02233 · arxiv_version: 1512.02233v2 · doi: 10.48550/arxiv.1512.02233 · pith_short_12: 6GHEEZSWEHX5 · pith_short_16: 6GHEEZSWEHX5R4IK · pith_short_8: 6GHEEZSW

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/6GHEEZSWEHX5R4IKPHGOJFXWF2 \
  | 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: f18e42665621efd8f10a79cce496f62e8cae6514fdb7c8b9c88d3641049ec241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e87d5d6e655f0578173595b8a4f962cc677df538c17d835a7a42390f4cf2dd6",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-12-07T21:00:09Z",
    "title_canon_sha256": "f3b901c49a0dcae8b3c3a3940ca854cbccb0154f6f0d2116850b2e935fef86a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02233",
    "kind": "arxiv",
    "version": 2
  }
}