Pith Number

pith:DITQ33H6

pith:2026:DITQ33H65NRQBXWU4AB3VFJSY4

not attested not anchored not stored refs pending

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior

Andr\'es Guzm\'an, Federico Battiston, Federico Malizia, Istv\'an Z. Kiss

arxiv:2601.10522 v2 · 2026-01-15 · 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{DITQ33H65NRQBXWU4AB3VFJSY4}

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

2 papers in Pith

The nestedness of higher-order networks

Nesting Controls Phase Transitions in Higher-Order Contagion

Receipt and verification

First computed	2026-07-16T01:22:33.376602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a270decfeeb6300ded4e003ba9532c73e75d7cddcc40f079b8a64a4b18962ee

Aliases

arxiv: 2601.10522 · arxiv_version: 2601.10522v2 · doi: 10.48550/arxiv.2601.10522 · pith_short_12: DITQ33H65NRQ · pith_short_16: DITQ33H65NRQBXWU · pith_short_8: DITQ33H6

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/DITQ33H65NRQBXWU4AB3VFJSY4 \
  | 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: 1a270decfeeb6300ded4e003ba9532c73e75d7cddcc40f079b8a64a4b18962ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4513eba3f7d48a45bdb0463a2d964db61d8f69f0242c3e2502e790f9af8d479",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-01-15T15:50:04Z",
    "title_canon_sha256": "f9b14280361ed0b87b3e126d211fba13eaf39be4cd7099cffe5c067f1616ec8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10522",
    "kind": "arxiv",
    "version": 2
  }
}