Pith Number

pith:NHMFDEZ2

pith:2016:NHMFDEZ2Y6P6SWCN7RWSBUG3QB

not attested not anchored not stored refs pending

On critical exponents curve for nonlinear elliptic equations in zero mass case

Yavdat Il'yasov

arxiv:1605.08142 v1 · 2016-05-26 · 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{NHMFDEZ2Y6P6SWCN7RWSBUG3QB}

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	2026-05-18T01:13:36.987999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d851933ac79fe9584dfc6d20d0db80708df432bac442256e9ce7b5405bfa07

Aliases

arxiv: 1605.08142 · arxiv_version: 1605.08142v1 · doi: 10.48550/arxiv.1605.08142 · pith_short_12: NHMFDEZ2Y6P6 · pith_short_16: NHMFDEZ2Y6P6SWCN · pith_short_8: NHMFDEZ2

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/NHMFDEZ2Y6P6SWCN7RWSBUG3QB \
  | 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: 69d851933ac79fe9584dfc6d20d0db80708df432bac442256e9ce7b5405bfa07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f484ca009bc9d04294783d0d87545b1436d95c843a6ac5b30150149eef322f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-26T05:04:21Z",
    "title_canon_sha256": "0ee1e4934efe1eadfe3cdd3cfd9ad973661c9cba156541737f76dbf254b140a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08142",
    "kind": "arxiv",
    "version": 1
  }
}