Pith Number

pith:4YA72U5A

pith:2020:4YA72U5A67JRPDM6P3HOOEC3XL

not attested not anchored not stored refs pending

Patterns of Nonlinear Opinion Formation on Networks

Alessio Franci, Anastasia Bizyaeva, Ayanna Matthews, Naomi Ehrich Leonard

arxiv:2009.13600 v2 · 2020-09-28 · math.OC · cs.SI · cs.SY · eess.SY · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YA72U5A67JRPDM6P3HOOEC3XL}

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	2026-07-05T07:08:50.693651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e601fd53a0f7d3178d9e7ecee7105bbad8bdb7e1fd5cbc449459958ce73fbf60

Aliases

arxiv: 2009.13600 · arxiv_version: 2009.13600v2 · doi: 10.48550/arxiv.2009.13600 · pith_short_12: 4YA72U5A67JR · pith_short_16: 4YA72U5A67JRPDM6 · pith_short_8: 4YA72U5A

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/4YA72U5A67JRPDM6P3HOOEC3XL \
  | 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: e601fd53a0f7d3178d9e7ecee7105bbad8bdb7e1fd5cbc449459958ce73fbf60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666373d826bad7c2fbc5b8c911ebc939862c598b613ffd7adf9811b1851fe53a",
    "cross_cats_sorted": [
      "cs.SI",
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-28T19:58:14Z",
    "title_canon_sha256": "72de33c74feef6b154aec4bfd727adfba66057ea8f30e1d988f41f9a1ba2a128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13600",
    "kind": "arxiv",
    "version": 2
  }
}