Pith Number

pith:R4J34DOG

pith:2015:R4J34DOGNZNYU7GKUX73CFIGSP

not attested not anchored not stored refs pending

Optimizing the first eigenvalue of some quasilinear operators with respect to the boundary conditions

Francesco Della Pietra, Hynek Kovarik, Nunzia Gavitone

arxiv:1511.03596 v1 · 2015-11-11 · 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{R4J34DOGNZNYU7GKUX73CFIGSP}

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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	2026-05-18T01:27:08.644562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f13be0dc66e5b8a7ccaa5ffb1150693c5e0214fe410c89b238e4e12b341ec91

Aliases

arxiv: 1511.03596 · arxiv_version: 1511.03596v1 · doi: 10.48550/arxiv.1511.03596 · pith_short_12: R4J34DOGNZNY · pith_short_16: R4J34DOGNZNYU7GK · pith_short_8: R4J34DOG

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/R4J34DOGNZNYU7GKUX73CFIGSP \
  | 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: 8f13be0dc66e5b8a7ccaa5ffb1150693c5e0214fe410c89b238e4e12b341ec91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b47c3f7dcf2932689fe3902b8728ad9a1bfd3fa4f41356a3a2d13754f7e029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-11T18:26:43Z",
    "title_canon_sha256": "42745aa013f0601b42b00f9e93aeeb5b97e0c0ede9144d8e5546d726fa68c63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03596",
    "kind": "arxiv",
    "version": 1
  }
}