Pith Number

pith:JRPPXTRO

pith:2016:JRPPXTRO2TW2R2MK74AJZK6M3Z

not attested not anchored not stored refs pending

Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture

Matteo Focardi

arxiv:1610.03784 v1 · 2016-10-12 · 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{JRPPXTRO2TW2R2MK74AJZK6M3Z}

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	2026-05-18T01:02:29.241261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5efbce2ed4eda8e98aff009cabccde4109cd8038ab44c38ae3ebfc97fc8445

Aliases

arxiv: 1610.03784 · arxiv_version: 1610.03784v1 · doi: 10.48550/arxiv.1610.03784 · pith_short_12: JRPPXTRO2TW2 · pith_short_16: JRPPXTRO2TW2R2MK · pith_short_8: JRPPXTRO

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/JRPPXTRO2TW2R2MK74AJZK6M3Z \
  | 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: 4c5efbce2ed4eda8e98aff009cabccde4109cd8038ab44c38ae3ebfc97fc8445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ff1405c5bdd7e5dd1f3beaaf21ff18a970f2737e03e356c93cd861a095c29d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-12T16:51:16Z",
    "title_canon_sha256": "80fd474ba116509107901b62c33ebba7a529fb7ffd0260f89fad35f5ff575f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03784",
    "kind": "arxiv",
    "version": 1
  }
}