Pith Number

pith:G4GQ3RYI

pith:2012:G4GQ3RYIWEBSPA7IRF6VT3PCAK

not attested not anchored not stored refs pending

On the Mountain-pass algorithm for the quasi-linear Schrodinger equation

Christopher Grumiau, Christophe Troestler, Marco Squassina

arxiv:1205.0517 v2 · 2012-05-02 · math.NA · 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{G4GQ3RYIWEBSPA7IRF6VT3PCAK}

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	2026-05-18T03:41:10.655230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370d0dc708b1032783e8897d59ede202b00269e4438d42dabd7f3db2e0639848

Aliases

arxiv: 1205.0517 · arxiv_version: 1205.0517v2 · doi: 10.48550/arxiv.1205.0517 · pith_short_12: G4GQ3RYIWEBS · pith_short_16: G4GQ3RYIWEBSPA7I · pith_short_8: G4GQ3RYI

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/G4GQ3RYIWEBSPA7IRF6VT3PCAK \
  | 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: 370d0dc708b1032783e8897d59ede202b00269e4438d42dabd7f3db2e0639848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c853afb8d41c79e84550e35c39373cdfd0ad7f57fccc8302aee95d3d88143d94",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-02T18:40:13Z",
    "title_canon_sha256": "0551a60f748ebc18eb1b4003786d5072f5b5561f4f5449795513746f5f7c4359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0517",
    "kind": "arxiv",
    "version": 2
  }
}