Pith Number

pith:4M4L25KH

pith:2019:4M4L25KHO6XLX3AWBMZPIKHZO7

not attested not anchored not stored refs pending

Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities

Ada Pulvirenti, Elide Terraneo, Giulia Furioli, Giuseppe Toscani

arxiv:1905.12901 v1 · 2019-05-30 · math-ph · math.MP · 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{4M4L25KHO6XLX3AWBMZPIKHZO7}

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	2026-05-17T23:44:39.374133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e338bd754777aebbec160b32f428f977db94e8cf4c7e04775a245ec2c5a05d3b

Aliases

arxiv: 1905.12901 · arxiv_version: 1905.12901v1 · doi: 10.48550/arxiv.1905.12901 · pith_short_12: 4M4L25KHO6XL · pith_short_16: 4M4L25KHO6XLX3AW · pith_short_8: 4M4L25KH

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/4M4L25KHO6XLX3AWBMZPIKHZO7 \
  | 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: e338bd754777aebbec160b32f428f977db94e8cf4c7e04775a245ec2c5a05d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10652feffc684a2f338b10b0f73838b217dbc3c804da0019434f67b5ac5eee8d",
    "cross_cats_sorted": [
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-30T07:53:55Z",
    "title_canon_sha256": "9a9c51d992d15995847c45dc3ce4f121d953b8ddf9f5e355c4449341c76317f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12901",
    "kind": "arxiv",
    "version": 1
  }
}