Pith Number

pith:5BUMEZ6Z

pith:2014:5BUMEZ6ZL2OSLG6EIN7U6TNEQI

not attested not anchored not stored refs pending

A complete study of the lack of compactness and existence results of a Fractional Nirenberg Equation via a flatness hypothesis: Part I

H. Chtioui, H. Hajaiej, W. Abdelhedi

arxiv:1409.5884 v1 · 2014-09-20 · 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{5BUMEZ6ZL2OSLG6EIN7U6TNEQI}

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	2026-05-18T01:02:46.065456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e868c267d95e9d259bc4437f4f4da48217afad3b2aef716091d6b2785961f2c8

Aliases

arxiv: 1409.5884 · arxiv_version: 1409.5884v1 · doi: 10.48550/arxiv.1409.5884 · pith_short_12: 5BUMEZ6ZL2OS · pith_short_16: 5BUMEZ6ZL2OSLG6E · pith_short_8: 5BUMEZ6Z

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/5BUMEZ6ZL2OSLG6EIN7U6TNEQI \
  | 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: e868c267d95e9d259bc4437f4f4da48217afad3b2aef716091d6b2785961f2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bffb1bcf03b0601224d22fa32d712ae5864acc12decfc74bed2af5d7e114ff4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-20T12:53:26Z",
    "title_canon_sha256": "3eb10b725823dc3e25c45f4ff6c4d0cabc2bec9161a397dcb98fb080c98fe525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5884",
    "kind": "arxiv",
    "version": 1
  }
}