Pith Number

pith:ZIVI52HO

pith:2020:ZIVI52HOUWN5QCTKIDIGELNPAX

not attested not anchored not stored refs pending

Solutions of super-linear elliptic equations and their Morse indices

Foued Mtiri

arxiv:2007.10838 v1 · 2020-07-20 · 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{ZIVI52HOUWN5QCTKIDIGELNPAX}

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	2026-07-05T01:21:12.510434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2a8ee8eea59bd80a6a40d0622daf05fbbd489fe08481993c9cdc3814673cfb

Aliases

arxiv: 2007.10838 · arxiv_version: 2007.10838v1 · doi: 10.48550/arxiv.2007.10838 · pith_short_12: ZIVI52HOUWN5 · pith_short_16: ZIVI52HOUWN5QCTK · pith_short_8: ZIVI52HO

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/ZIVI52HOUWN5QCTKIDIGELNPAX \
  | 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: ca2a8ee8eea59bd80a6a40d0622daf05fbbd489fe08481993c9cdc3814673cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf19e42b94a525474fcd31c5604dc46994a782177b39decb1c5424d17fbc52b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-20T07:45:17Z",
    "title_canon_sha256": "e26dece989e6de88b9405f9793f5a752c62847dc920901213992d34d3cad6c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10838",
    "kind": "arxiv",
    "version": 1
  }
}