Pith Number

pith:QI7LKMSW

pith:2026:QI7LKMSWTMNT6PZIJYEJM5D35W

not attested not anchored not stored refs pending

Networks of agglomeration: how population density rewires social networks and reshapes contagion dynamics

Christopher K. Tokita

arxiv:2606.19488 v1 · 2026-06-17 · physics.soc-ph · cs.SI · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QI7LKMSWTMNT6PZIJYEJM5D35W}

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	2026-06-19T16:12:27.110900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823eb532569b1b3f3f284e0896747beda4691dd3f4a3746689fb52a1c59b8051

Aliases

arxiv: 2606.19488 · arxiv_version: 2606.19488v1 · doi: 10.48550/arxiv.2606.19488 · pith_short_12: QI7LKMSWTMNT · pith_short_16: QI7LKMSWTMNT6PZI · pith_short_8: QI7LKMSW

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/QI7LKMSWTMNT6PZIJYEJM5D35W \
  | 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: 823eb532569b1b3f3f284e0896747beda4691dd3f4a3746689fb52a1c59b8051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eddc47d283008343e83f93658c9ab7449830f0ef5ac381a00b072f82e3a49287",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-06-17T18:25:59Z",
    "title_canon_sha256": "2089955397b7d67f7757f2c2e5dc4a28b5889bc67bd0b7a41450721cb7f72291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19488",
    "kind": "arxiv",
    "version": 1
  }
}