Pith Number

pith:NJ5PBRNK

pith:2017:NJ5PBRNK75YN77CIHU4LTXC4Q3

not attested not anchored not stored refs pending

Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

Birzhan Ayanbayev, Hussien Abugirda, Nikos Katzourakis (Reading, UK)

arxiv:1704.04492 v3 · 2017-04-14 · 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{NJ5PBRNK75YN77CIHU4LTXC4Q3}

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	2026-05-18T00:17:01.905747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7af0c5aaff70dffc483d38b9dc5c86fcc82184897172268538341000a19555

Aliases

arxiv: 1704.04492 · arxiv_version: 1704.04492v3 · doi: 10.48550/arxiv.1704.04492 · pith_short_12: NJ5PBRNK75YN · pith_short_16: NJ5PBRNK75YN77CI · pith_short_8: NJ5PBRNK

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/NJ5PBRNK75YN77CIHU4LTXC4Q3 \
  | 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: 6a7af0c5aaff70dffc483d38b9dc5c86fcc82184897172268538341000a19555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681cdd34f426f8398d542abdbf924618e1573cdec2b9423f7bdc73104e9f973f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-14T17:47:20Z",
    "title_canon_sha256": "5e849dbedaaeeef329c88d0ea111a439395ba30eca7ca82756edd1963b6356a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04492",
    "kind": "arxiv",
    "version": 3
  }
}