Pith Number

pith:KD24QWLU

pith:2014:KD24QWLU2QXOH2XBLI2N2QMQPY

not attested not anchored not stored refs pending

Borderline gradient continuity of minima

Giuseppe Mingione, Paolo Baroni, Tuomo Kuusi

arxiv:1409.8122 v1 · 2014-09-29 · 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{KD24QWLU2QXOH2XBLI2N2QMQPY}

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	2026-05-18T02:41:33.671505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f5c85974d42ee3eae15a34dd41907e2743ba67adea436f8d4dcca1673acff8

Aliases

arxiv: 1409.8122 · arxiv_version: 1409.8122v1 · doi: 10.48550/arxiv.1409.8122 · pith_short_12: KD24QWLU2QXO · pith_short_16: KD24QWLU2QXOH2XB · pith_short_8: KD24QWLU

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/KD24QWLU2QXOH2XBLI2N2QMQPY \
  | 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: 50f5c85974d42ee3eae15a34dd41907e2743ba67adea436f8d4dcca1673acff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31649713fa06ba38892777e2028f6108363c81b78cc394362e27df7431c439c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-29T13:48:12Z",
    "title_canon_sha256": "63591f072c03add5e73f8b09000519c51337fd6c873ee179368c4dd6f9c1bdf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8122",
    "kind": "arxiv",
    "version": 1
  }
}