Pith Number

pith:SY7B4IMV

pith:2026:SY7B4IMVQKPBFOULIJDOJQS6B2

not attested not anchored not stored refs pending

Adaptive behaviors neutralize bistable explosive transitions in higher-order contagion

Alain Barrat, Marco Mancastroppa, M\'arton Karsai

arxiv:2601.05801 v1 · 2026-01-09 · 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{SY7B4IMVQKPBFOULIJDOJQS6B2}

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	2026-07-03T00:16:51.879530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963e1e2195829e12ba8b4246e4c25e0eb388f63e889c816f0702ee666a84889f

Aliases

arxiv: 2601.05801 · arxiv_version: 2601.05801v1 · doi: 10.48550/arxiv.2601.05801 · pith_short_12: SY7B4IMVQKPB · pith_short_16: SY7B4IMVQKPBFOUL · pith_short_8: SY7B4IMV

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/SY7B4IMVQKPBFOULIJDOJQS6B2 \
  | 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: 963e1e2195829e12ba8b4246e4c25e0eb388f63e889c816f0702ee666a84889f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ea59468331f0a2d0fceb2db5a950e5155de40858613e7f69bdeed13ca842fa",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-01-09T14:07:13Z",
    "title_canon_sha256": "c9c21756ab894ff5e6decec407f09f6d2fc16c031c58798141010f26a2ec50b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05801",
    "kind": "arxiv",
    "version": 1
  }
}