Pith Number

pith:5GYIMDMA

pith:2016:5GYIMDMA72IGPUWZBIYIOOHUIG

not attested not anchored not stored refs pending

Threshold models of cascades in large-scale networks

Fabio Fagnani, Giacomo Como, Wilbert Samuel Rossi

arxiv:1604.05490 v1 · 2016-04-19 · cs.SI · cs.SY · math.OC · 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{5GYIMDMA72IGPUWZBIYIOOHUIG}

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	2026-05-18T01:16:38.673301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b0860d80fe9067d2d90a308738f441ab11be8f3a7e8027026ce3e97d947858

Aliases

arxiv: 1604.05490 · arxiv_version: 1604.05490v1 · doi: 10.48550/arxiv.1604.05490 · pith_short_12: 5GYIMDMA72IG · pith_short_16: 5GYIMDMA72IGPUWZ · pith_short_8: 5GYIMDMA

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/5GYIMDMA72IGPUWZBIYIOOHUIG \
  | 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: e9b0860d80fe9067d2d90a308738f441ab11be8f3a7e8027026ce3e97d947858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1449dd10c8261b3d67ebc16d8ef47b1606d0b5ad2b583d4241359982781107b",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-04-19T09:34:58Z",
    "title_canon_sha256": "2c1de24389d5c85ec6375643691d9837f8267903b9d56e84b676c17d50a5ad3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05490",
    "kind": "arxiv",
    "version": 1
  }
}