Pith Number

pith:JQ3G445P

pith:2011:JQ3G445PA4JRH2RCRWYB5O3QKL

not attested not anchored not stored refs pending

Controlled-Error Approximations for Surface Diffusion of Interacting Particles with Applications to Pattern Formation

Markos Katsoulakis, Yannis Pantazis

arxiv:1109.2077 v3 · 2011-09-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQ3G445PA4JRH2RCRWYB5O3QKL}

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	2026-05-18T03:04:06.977082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c366e73af071313ea228db01ebb7052f87d0a2b227c2a065b0fce0feaebd3a9

Aliases

arxiv: 1109.2077 · arxiv_version: 1109.2077v3 · doi: 10.48550/arxiv.1109.2077 · pith_short_12: JQ3G445PA4JR · pith_short_16: JQ3G445PA4JRH2RC · pith_short_8: JQ3G445P

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/JQ3G445PA4JRH2RCRWYB5O3QKL \
  | 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: 4c366e73af071313ea228db01ebb7052f87d0a2b227c2a065b0fce0feaebd3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5167c833f7cdc67cca16c2908a55bc36be26a96c657b44391de6ef2671fa80e8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-09T17:44:40Z",
    "title_canon_sha256": "1f94964a7f2e45ebadfc07c31ab1baa0d8af6435ab8fa6162b085127ddd39bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2077",
    "kind": "arxiv",
    "version": 3
  }
}