Pith Number

pith:FDU5JHKW

pith:2019:FDU5JHKWVJD75Z7J3GUJICZ5IL

not attested not anchored not stored refs pending

A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation

Bruno Franchi, Martin Heida, Silvia Lorenzani

arxiv:1904.11015 v1 · 2019-04-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDU5JHKWVJD75Z7J3GUJICZ5IL}

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	2026-05-17T23:47:47.887054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e9d49d56aa47fee7e9d9a8940b3d42c995b418362b8d0bc3edbb020d8aa367

Aliases

arxiv: 1904.11015 · arxiv_version: 1904.11015v1 · doi: 10.48550/arxiv.1904.11015 · pith_short_12: FDU5JHKWVJD7 · pith_short_16: FDU5JHKWVJD75Z7J · pith_short_8: FDU5JHKW

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/FDU5JHKWVJD75Z7J3GUJICZ5IL \
  | 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: 28e9d49d56aa47fee7e9d9a8940b3d42c995b418362b8d0bc3edbb020d8aa367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d58a9c73cb9dd7bfd50bd5933d43d370e566325fceafde626285d40937e28b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-18T17:32:37Z",
    "title_canon_sha256": "5a8b8e1948ad9dae646fa789cdb2aee547cd72f911f5a66db17e49e6a0febdd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11015",
    "kind": "arxiv",
    "version": 1
  }
}