Pith Number

pith:MMNCCZPL

pith:2024:MMNCCZPLUU2HXLVP3WUWGCDXUP

not attested not anchored not stored refs pending

Eigenvalue Inequalities for Fully Nonlinear Elliptic Equations via the Alexandroff-Bakelman-Pucci Method

Dimitrios Gazoulis

arxiv:2409.01858 v3 · 2024-09-03 · 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{MMNCCZPLUU2HXLVP3WUWGCDXUP}

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	2026-07-05T10:51:04.454447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631a2165eba5347baeafdda9630877a3de540f714e3727dfc31366322d1369ab

Aliases

arxiv: 2409.01858 · arxiv_version: 2409.01858v3 · doi: 10.48550/arxiv.2409.01858 · pith_short_12: MMNCCZPLUU2H · pith_short_16: MMNCCZPLUU2HXLVP · pith_short_8: MMNCCZPL

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/MMNCCZPLUU2HXLVP3WUWGCDXUP \
  | 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: 631a2165eba5347baeafdda9630877a3de540f714e3727dfc31366322d1369ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694b6872ca24a23c7d279b7012c254eaf1005428f50b010ce04cb62b64a8390d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-03T12:58:09Z",
    "title_canon_sha256": "db420a04f092d1685df58a2875e4c1c4ad75b80037e07f1f6f7719e1b0556e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01858",
    "kind": "arxiv",
    "version": 3
  }
}