Pith Number

pith:S4CIBNB2

pith:2016:S4CIBNB2KN2UHCLBKHGHXP7BUO

not attested not anchored not stored refs pending

Nondegeneracy of positive solutions to nonlinear Hardy-Sobolev equations

Fr\'ed\'eric Robert

arxiv:1612.02935 v2 · 2016-12-09 · 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{S4CIBNB2KN2UHCLBKHGHXP7BUO}

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	2026-05-18T00:53:47.498015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970480b43a537543896151cc7bbfe1a3914c0f3f4987e92729d82d6f3146fd6a

Aliases

arxiv: 1612.02935 · arxiv_version: 1612.02935v2 · doi: 10.48550/arxiv.1612.02935 · pith_short_12: S4CIBNB2KN2U · pith_short_16: S4CIBNB2KN2UHCLB · pith_short_8: S4CIBNB2

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/S4CIBNB2KN2UHCLBKHGHXP7BUO \
  | 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: 970480b43a537543896151cc7bbfe1a3914c0f3f4987e92729d82d6f3146fd6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b987207cf7a46a139863636acacdf0e809a73efb66103ffc2b9bddc576923cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-09T08:17:14Z",
    "title_canon_sha256": "5a7038ecdc4260a69bf06115a96c49944b3b0a6993e76cc8bcd0ee3c8e20e882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02935",
    "kind": "arxiv",
    "version": 2
  }
}