Pith Number

pith:C6V7H6PD

pith:2019:C6V7H6PD67VVLBEN5OC5JHWFJN

not attested not anchored not stored refs pending

On symmetry and uniqueness of ground states for linear and nonlinear elliptic PDEs

Enno Lenzmann, J\'er\'emy Sok, Lars Bugiera

arxiv:1908.06774 v2 · 2019-08-19 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6V7H6PD67VVLBEN5OC5JHWFJN}

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	2026-07-05T04:09:54.051403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17abf3f9e3f7eb55848deb85d49ec54b50778671dbfb0859233e49b151ff62b9

Aliases

arxiv: 1908.06774 · arxiv_version: 1908.06774v2 · doi: 10.48550/arxiv.1908.06774 · pith_short_12: C6V7H6PD67VV · pith_short_16: C6V7H6PD67VVLBEN · pith_short_8: C6V7H6PD

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/C6V7H6PD67VVLBEN5OC5JHWFJN \
  | 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: 17abf3f9e3f7eb55848deb85d49ec54b50778671dbfb0859233e49b151ff62b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac00aae80f79780c9a708e9fad4947edc2589c127e06b89bf2703fabd529e77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-19T13:03:53Z",
    "title_canon_sha256": "5c7f770da13b9685c06a4c09f7069b1593d831a6513e10e7c1c5c43911d42afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06774",
    "kind": "arxiv",
    "version": 2
  }
}