Pith Number

pith:QX4C7VA4

pith:2011:QX4C7VA4NL4NKKRDYYY5LRJLCS

not attested not anchored not stored refs pending

An Approach to the Minimization of the Mumford-Shah Functional using \Gamma-convergence and Topological Asymptotic Expansion

Markus Grasmair, Monika Muszkieta, Otmar Scherzer

arxiv:1103.4722 v2 · 2011-03-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX4C7VA4NL4NKKRDYYY5LRJLCS}

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	2026-05-18T03:21:21.777665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f82fd41c6af8d52a23c631d5c52b14a56472d65642e454760e3288fe64ffe6

Aliases

arxiv: 1103.4722 · arxiv_version: 1103.4722v2 · doi: 10.48550/arxiv.1103.4722 · pith_short_12: QX4C7VA4NL4N · pith_short_16: QX4C7VA4NL4NKKRD · pith_short_8: QX4C7VA4

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/QX4C7VA4NL4NKKRDYYY5LRJLCS \
  | 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: 85f82fd41c6af8d52a23c631d5c52b14a56472d65642e454760e3288fe64ffe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b162d5de65303e24e96c862493ecab6d497ebccd9f01a631024da5debdb055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-24T10:37:27Z",
    "title_canon_sha256": "b390008a37810cfaf916b36a2649f79dda18850a8f6eab3fb9990c19974cb314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4722",
    "kind": "arxiv",
    "version": 2
  }
}