Pith Number

pith:UX3CDPOB

pith:2014:UX3CDPOBXS5YUUZ6T5QGOZJZJE

not attested not anchored not stored refs pending

The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data

Katarzyna Mazowiecka, Pawe{\l} Strzelecki

arxiv:1406.0601 v3 · 2014-06-03 · 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{UX3CDPOBXS5YUUZ6T5QGOZJZJE}

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	2026-05-18T01:24:30.697051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f621bdc1bcbb8a533e9f60676539491ee5145fed2772d199b2616687a99325

Aliases

arxiv: 1406.0601 · arxiv_version: 1406.0601v3 · doi: 10.48550/arxiv.1406.0601 · pith_short_12: UX3CDPOBXS5Y · pith_short_16: UX3CDPOBXS5YUUZ6 · pith_short_8: UX3CDPOB

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/UX3CDPOBXS5YUUZ6T5QGOZJZJE \
  | 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: a5f621bdc1bcbb8a533e9f60676539491ee5145fed2772d199b2616687a99325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785df67fe381900877c95582efbf5d2c948fb4949b908d04ff7343fc6852af80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-03T07:24:45Z",
    "title_canon_sha256": "3f1da0c3faace81c403b6464a5411ad51e564efe131b4f10be2f15452334a104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0601",
    "kind": "arxiv",
    "version": 3
  }
}