Pith Number

pith:NAFJ3NBI

pith:2019:NAFJ3NBIGUVGFRP7YASUJIDEAW

not attested not anchored not stored refs pending

A network-based microfoundation of Granovetter's threshold model for social tipping

E. Keith Smith, Jobst Heitzig, Jonathan F. Donges, Marc Wiedermann

arxiv:1911.04126 v2 · 2019-11-11 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAFJ3NBIGUVGFRP7YASUJIDEAW}

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	2026-07-05T01:35:26.096107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680a9db428352a62c5ffc02544a06405bfd511bbe4a82994ce2d4e32da037413

Aliases

arxiv: 1911.04126 · arxiv_version: 1911.04126v2 · doi: 10.48550/arxiv.1911.04126 · pith_short_12: NAFJ3NBIGUVG · pith_short_16: NAFJ3NBIGUVGFRP7 · pith_short_8: NAFJ3NBI

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/NAFJ3NBIGUVGFRP7YASUJIDEAW \
  | 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: 680a9db428352a62c5ffc02544a06405bfd511bbe4a82994ce2d4e32da037413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d904422dddf560de2ada013cb8cb8f1343219ada761ca57298125105c342cb",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-11-11T08:11:19Z",
    "title_canon_sha256": "04fb58bc34b0aaed1fbd45672b87b26ac0fedfd6f94c981d6fa57d7bb837e214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04126",
    "kind": "arxiv",
    "version": 2
  }
}