Pith Number

pith:IM4WZIID

pith:2012:IM4WZIIDNJQX2XOA3ENX3Q3CDX

not attested not anchored not stored refs pending

Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation

Ansgar J\"ungel, Etienne Emmrich, Mario Bukal

arxiv:1208.5474 v1 · 2012-08-27 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM4WZIIDNJQX2XOA3ENX3Q3CDX}

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	2026-05-18T03:46:59.388186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43396ca1036a617d5dc0d91b7dc3621ddff675f4e9ea1bad8a1fbe2db8f2f093

Aliases

arxiv: 1208.5474 · arxiv_version: 1208.5474v1 · doi: 10.48550/arxiv.1208.5474 · pith_short_12: IM4WZIIDNJQX · pith_short_16: IM4WZIIDNJQX2XOA · pith_short_8: IM4WZIID

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/IM4WZIIDNJQX2XOA3ENX3Q3CDX \
  | 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: 43396ca1036a617d5dc0d91b7dc3621ddff675f4e9ea1bad8a1fbe2db8f2f093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f97f8078ef8b9456ea31d15d62407f64049487d5c5d1fd601757b90e2025eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-27T19:49:25Z",
    "title_canon_sha256": "1ea2d52aba90a1533c5992bc428ab1d242d581b64284696f7eccf6312de2fc2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5474",
    "kind": "arxiv",
    "version": 1
  }
}