Pith Number

pith:7LITFROU

pith:2015:7LITFROUKYDNZ7KEPVZ5UPC35H

not attested not anchored not stored refs pending

Mathematical analysis of a coarsening model with local interactions

Barbara Niethammer, Juan J. L. Velazquez, Michael Helmers

arxiv:1509.04917 v2 · 2015-09-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LITFROUKYDNZ7KEPVZ5UPC35H}

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	2026-05-18T01:01:52.210174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad132c5d45606dcfd447d73da3c5be9ca79ad1c84bcc025d47017ed60da38f9

Aliases

arxiv: 1509.04917 · arxiv_version: 1509.04917v2 · doi: 10.48550/arxiv.1509.04917 · pith_short_12: 7LITFROUKYDN · pith_short_16: 7LITFROUKYDNZ7KE · pith_short_8: 7LITFROU

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/7LITFROUKYDNZ7KEPVZ5UPC35H \
  | 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: fad132c5d45606dcfd447d73da3c5be9ca79ad1c84bcc025d47017ed60da38f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce62d536d9aeb424d097d40d8b61deab2b6fd636794481436f1f141df280d0d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-16T13:48:51Z",
    "title_canon_sha256": "915979fc16c86f1db4325567bb78aa2e2178f18434b854870ad9d1936e87cca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04917",
    "kind": "arxiv",
    "version": 2
  }
}