Pith Number

pith:Y2AJAI74

pith:2016:Y2AJAI74RCGFXIKT7VUH26ROLR

not attested not anchored not stored refs pending

Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space

Ali Hyder, Luca Martinazzi, Stefano Iula

arxiv:1610.06820 v1 · 2016-10-21 · 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{Y2AJAI74RCGFXIKT7VUH26ROLR}

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	2026-05-18T00:10:41.627484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6809023fc888c5ba153fd687d7a2e5c6e33a960a91e6ad4b81bc9327df6004f

Aliases

arxiv: 1610.06820 · arxiv_version: 1610.06820v1 · doi: 10.48550/arxiv.1610.06820 · pith_short_12: Y2AJAI74RCGF · pith_short_16: Y2AJAI74RCGFXIKT · pith_short_8: Y2AJAI74

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/Y2AJAI74RCGFXIKT7VUH26ROLR \
  | 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: c6809023fc888c5ba153fd687d7a2e5c6e33a960a91e6ad4b81bc9327df6004f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d74c07a72d21aeabab3bfdc1bb719f139c86073a8dfc87edefbe3cb26f6da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-21T15:17:55Z",
    "title_canon_sha256": "0676270aa193975a2da26412f4d93a5f483c054764aa5fbed22a38582d8afdeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06820",
    "kind": "arxiv",
    "version": 1
  }
}