Pith Number

pith:I5P54FGE

pith:2017:I5P54FGEZLVKAYDOGI3QGXO7CJ

not attested not anchored not stored refs pending

Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle

Francesco Della Pietra, Giuseppina di Blasio, Nunzia Gavitone

arxiv:1710.03140 v1 · 2017-10-09 · 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{I5P54FGEZLVKAYDOGI3QGXO7CJ}

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	2026-05-18T00:33:26.960507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475fde14c4caeaa0606e3237035ddf12698c55b88bce852721819b544316cadf

Aliases

arxiv: 1710.03140 · arxiv_version: 1710.03140v1 · doi: 10.48550/arxiv.1710.03140 · pith_short_12: I5P54FGEZLVK · pith_short_16: I5P54FGEZLVKAYDO · pith_short_8: I5P54FGE

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/I5P54FGEZLVKAYDOGI3QGXO7CJ \
  | 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: 475fde14c4caeaa0606e3237035ddf12698c55b88bce852721819b544316cadf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c97d730b5199202d136657853c04c997c8a9868be488c00883b9d09ac6437ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-09T15:10:00Z",
    "title_canon_sha256": "63ebbc100c2a36d80401b0a49ba85e41c02f0d29e7658fe0071d159cd5e70914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03140",
    "kind": "arxiv",
    "version": 1
  }
}