Pith Number

pith:CFERVGYO

pith:2026:CFERVGYOL6UTA2K5QDOQ7EFEOK

not attested not anchored not stored refs pending

Structural Divergence of the Roman--Byzantine Trade Network, 0--1453\,CE: Persistent Homology, Topological Velocity, and Criticality Indicators of Imperial Collapse

Carlos Pinedo Guadarrama, David Delepine, Jose de Jesus Bernal-Alvarado

arxiv:2607.05695 v1 · 2026-07-06 · physics.soc-ph · econ.GN · physics.hist-ph · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFERVGYOL6UTA2K5QDOQ7EFEOK}

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.

Cited by

1 paper in Pith

Topological Signatures of Imperial Collapse and Fragmentation: Administrative Dissolution, Territorial Reorganization and Early-Warning Observables in the Han Dynasty Network (206~BCE\,--\,220~CE)

Receipt and verification

First computed	2026-07-08T01:18:41.779501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11491a9b0e5fa930695d80dd0f90a472b762015227c2042db14d258f652f70ed

Aliases

arxiv: 2607.05695 · arxiv_version: 2607.05695v1 · doi: 10.48550/arxiv.2607.05695 · pith_short_12: CFERVGYOL6UT · pith_short_16: CFERVGYOL6UTA2K5 · pith_short_8: CFERVGYO

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/CFERVGYOL6UTA2K5QDOQ7EFEOK \
  | 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: 11491a9b0e5fa930695d80dd0f90a472b762015227c2042db14d258f652f70ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee40d52f33f87d6154eb119b51e8b39c0f058660aa9aae48ab7ab017f805f8b1",
    "cross_cats_sorted": [
      "econ.GN",
      "physics.hist-ph",
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-06T23:27:34Z",
    "title_canon_sha256": "858f427ab3ad647b06cc78194311b9104fd7d35b52798f275ee8a432a9ce2c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05695",
    "kind": "arxiv",
    "version": 1
  }
}