Pith Number

pith:MKWOHCOA

pith:2014:MKWOHCOALNKQ3AHHNR37AHB5ZZ

not attested not anchored not stored refs pending

Loss of continuity of the solution map for the Euler equations in $\alpha$-modulation and H\"older spaces

Gerard Misio{\l}ek, Tsuyoshi Yoneda

arxiv:1412.4619 v1 · 2014-12-15 · 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{MKWOHCOALNKQ3AHHNR37AHB5ZZ}

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	2026-05-18T02:31:18.675754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ace389c05b550d80e76c77f01c3dce58b5afa209dec95c0ef6f594d1594683

Aliases

arxiv: 1412.4619 · arxiv_version: 1412.4619v1 · doi: 10.48550/arxiv.1412.4619 · pith_short_12: MKWOHCOALNKQ · pith_short_16: MKWOHCOALNKQ3AHH · pith_short_8: MKWOHCOA

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/MKWOHCOALNKQ3AHHNR37AHB5ZZ \
  | 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: 62ace389c05b550d80e76c77f01c3dce58b5afa209dec95c0ef6f594d1594683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76cf00efba316016dce45734fd3ddca72698f0b73b04ab1c4793f9398f6795f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-15T14:38:55Z",
    "title_canon_sha256": "aaf7b10d2afe28af051310aa19a12a0f83c7c92e1c73b48e68b317d167f3fae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4619",
    "kind": "arxiv",
    "version": 1
  }
}